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1.07 Compound inequalities

Adaptive
Worksheet

Interactive practice questions

The solution to a compound inequality is the intersection of the solutions of its two parts.

What word should we use to join the two parts of the compound inequality together?

AND

A

OR

B
Easy
< 1min

The solution to a compound inequality is the union of the solutions of its two parts.

What type of compound inequality is this?

Easy
< 1min

Consider the two inequalities: $x\ge2$x2 and $x\le7$x7.

Easy
1min

Consider the two inequalities: $x>3$x>3 and $x\le7$x7.

Easy
1min
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Outcomes

A1.A.CED.A.1

Create equations and inequalities in one variable and use them to solve problems in a real-world context.*

A1.A.CED.A.3

Create individual and systems of equations and/or inequalities to represent constraints in a contextual situation, and interpret solutions as viable or non-viable.*

A1.A.REI.B.2

Solve linear and absolute value equations and inequalities in one variable.

A1.A.REI.B.2.A

Solve linear equations and inequalities, including compound inequalities, in one variable. Represent solutions algebraically and graphically.

A1.MP1

Make sense of problems and persevere in solving them.

A1.MP2

Reason abstractly and quantitatively.

A1.MP3

Construct viable arguments and critique the reasoning of others.

A1.MP4

Model with mathematics.

A1.MP6

Attend to precision.

A1.MP7

Look for and make use of structure.

A1.MP8

Look for and express regularity in repeated reasoning.

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