math 71a 4.2 – compound inequalities 1. 2 3 intersection
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1
Math 71A
4.2 – Compound Inequalities
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The _______________ of sets and is set of elements ______________ to _____ ____ .
This is written and read_______________.
In set-builder notation, _________________________
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The _______________ of sets and is set of elements ______________ to _____ ____ .
This is written and read_______________.
In set-builder notation, _________________________
intersection
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The _______________ of sets and is set of elements ______________ to _____ ____ .
This is written and read_______________.
In set-builder notation, _________________________
intersectioncommon
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The _______________ of sets and is set of elements ______________ to _____ ____ .
This is written and read_______________.
In set-builder notation, _________________________
intersectioncommon
both and
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The _______________ of sets and is set of elements ______________ to _____ ____ .
This is written and read_______________.
In set-builder notation, _________________________
intersectioncommon
both and
“A intersect B”
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The _______________ of sets and is set of elements ______________ to _____ ____ .
This is written and read_______________.
In set-builder notation, _________________________
intersectioncommon
both and
{𝒙|𝒙∈ 𝑨and 𝒙∈𝑩}
“A intersect B”
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Ex 1.
Intersection
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Ex 1.
Intersection
{𝟔 ,𝟖 }
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Ex 1.
Intersection
{𝟔 ,𝟖 }
{}
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Ex 1.
Intersection
{𝟔 ,𝟖 }
{} (or )
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The ___________ of sets and is set of _________ elements in ____ .
This is written and read “ union ”.
In set-builder notation, ____________________________
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The ___________ of sets and is set of _________ elements in ____ .
This is written and read “ union ”.
In set-builder notation, ____________________________
union
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The ___________ of sets and is set of _________ elements in ____ .
This is written and read “ union ”.
In set-builder notation, ____________________________
unionall
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The ___________ of sets and is set of _________ elements in ____ .
This is written and read “ union ”.
In set-builder notation, ____________________________
unionall or
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The ___________ of sets and is set of _________ elements in ____ .
This is written and read “ union ”.
In set-builder notation, ____________________________
unionall or
{𝒙|𝒙∈ 𝑨or 𝒙∈𝑩}
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Ex 2.
Union
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Ex 2.
Union
{𝟓 ,𝟔 ,𝟕 ,𝟖 ,𝟗 ,𝟏𝟎 }
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Ex 2.
Union
{𝟓 ,𝟔 ,𝟕 ,𝟖 ,𝟗 ,𝟏𝟎 }
{𝒎,𝒂 ,𝒕 ,𝒉}
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In summary…
…to intersect two sets, take _____________ elements.
…to union two sets, take _______ elements.
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In summary…
…to intersect two sets, take _____________ elements.
…to union two sets, take _______ elements.
common
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In summary…
…to intersect two sets, take _____________ elements.
…to union two sets, take _______ elements.
common
all
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Inequalities joined by _______ or _____ are together called a ______________________.
ex: and
ex: or
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Inequalities joined by _______ or _____ are together called a ______________________.
ex: and
ex: or
“and”
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Inequalities joined by _______ or _____ are together called a ______________________.
ex: and
ex: or
“and” “or”
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Inequalities joined by _______ or _____ are together called a ______________________.
ex: and
ex: or
compound inequality“and” “or”
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Inequalities joined by _______ or _____ are together called a ______________________.
ex: and
ex: or
compound inequality“and” “or”
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Let’s look at the following compound inequality: and
The solution set for the compound inequality is the set of all that satisfy _________________.
In other words, it’s the intersection of the solution sets and .
“And”
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Let’s look at the following compound inequality: and
The solution set for the compound inequality is the set of all that satisfy _________________.
In other words, it’s the intersection of the solution sets and .
“And”
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Let’s look at the following compound inequality: and
The solution set for the compound inequality is the set of all that satisfy _________________.
In other words, it’s the intersection of the solution sets and .
“And”
both inequalities
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Let’s look at the following compound inequality: and
The solution set for the compound inequality is the set of all that satisfy _________________.
In other words, it’s the intersection of the solution sets and .
“And”
both inequalities
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To find the solution set of and , graphing helps:
“And”
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To find the solution set of and , graphing helps:
“And”
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To find the solution set of and , graphing helps:
“And”
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To find the solution set of and , graphing helps:
“And”
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To find the solution set of and , graphing helps:
“And”
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To find the solution set of and , graphing helps:
“And”
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Ex 3.Solve: and
“And”
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Ex 3.Solve: and
“And”
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Ex 3.Solve: and
“And”
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Ex 3.Solve: and
“And”
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Ex 3.Solve: and
“And”
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Ex 3.Solve: and
“And”
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Ex 3.Solve: and
“And”
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Ex 4.Solve: and
“And”
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Ex 4.Solve: and
“And”
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Ex 4.Solve: and
“And”
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Ex 4.Solve: and
“And”
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Ex 4.Solve: and
“And”
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Note: “” is a short way of writing “ and ”
Ex 5.Solve:
“And”
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Note: “” is a short way of writing “ and ”
Ex 5.Solve:
“And”
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Let’s look at the following compound inequality: or The solution set for the compound inequality is the set of all that satisfy _________________.
In other words, it’s the union of the solution sets and , written
“Or”
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Let’s look at the following compound inequality: or The solution set for the compound inequality is the set of all that satisfy _________________.
In other words, it’s the union of the solution sets and , written
“Or”
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Let’s look at the following compound inequality: or The solution set for the compound inequality is the set of all that satisfy _________________.
In other words, it’s the union of the solution sets and , written
“Or”
either inequality
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Let’s look at the following compound inequality: or The solution set for the compound inequality is the set of all that satisfy _________________.
In other words, it’s the union of the solution sets and , written
“Or”
either inequality
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Ex 6.Solve: or
“Or”
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Ex 6.Solve: or
“Or”
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Ex 6.Solve: or
“Or”
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Ex 6.Solve: or
“Or”
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Ex 6.Solve: or
“Or”
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Ex 6.Solve: or
“Or”
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Ex 7.Solve: or
“Or”
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Ex 7.Solve: or
“Or”
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Ex 7.Solve: or
“Or”
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Ex 7.Solve: or
“Or”
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Ex 7.Solve: or
“Or”
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Ex 7.Solve: or
“Or”
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