Compound Inequalities
Presentation
•
Mathematics
•
9th - 12th Grade
•
Medium
+2
Standards-aligned
Deb Scott
Used 327+ times
FREE Resource
10 Slides • 9 Questions
1
by Deb Scott
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Objective: Solve Compound Inequalities
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Two Inequalities (or more) joined together with "and" or "or"
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"or" inequalities have a tendency to graph apart
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Our first step is to solve the inequalities for the given variable
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Once you solve the inequalities, it is time to graph! Graph just as you would any other Inequality. Notice how the two inequalities go in opposite directions.
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Multiple Choice
Solve the following Compound Inequality 3x≥9 or 5+x<6
x<1 or x≤3
x<1 or x≥3x<1 or x≥−3
x<1 or x≤−3
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Multiple Choice
Does the following graph match the compound inequality
x<1 or x≥3
True
False
9
Multiple Choice
Solve the following Compound Inequality 2x+9>17 or 5x+10<10
x<0 or x<4
x>0 or x>4
x<0 or x>4
x>0 or x<4
10
Multiple Choice
Solve the following Compound Inequality −3(2x+1)<−15 or 1−x≥5
x≥2 or x≤−4
x≤−4 or x>2
x≥−4 or x<2
x<−4 or x>2
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"and" inequalities have a tendency to graph together
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Because the solutions to an "and" inequality fall between two endpoints, they are frequently written in a more condensed form.
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You must split the compound inequality into two inequalities. You can use the box method to help you split the compound inequality in two. Notice in the picture how everything in the middle is included when splitting it in two.
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Once you solve the inequalities, it is time to graph! Graph just as you would any other Inequality. Notice how the two inequalities go towards each other.
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Multiple Choice
Solve the following "and" Compound Inequality
−27<7x−13<8
x>−2 and x<3
x<−2 and x<3
x>−2 and x>3
x>2 and x<3
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Multiple Choice
Which compound inequality matches the following "And" Compound Inequality
x>−2 and x<3
−2<x<3
−2>x<3
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Multiple Choice
Which graph matches the following "And" Compound Inequality
x>−2 and x<3
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Multiple Select
Solve the following the Compound Inequality −2<2(x−6)≤4
5<x≤8
5>x≥8
x<5 and x≥8
x>5 and x≤8
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Poll
How do you feel about solving Compound Inequalities?
Great
Good
Okay
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