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1.07 Absolute value inequalities

Adaptive
Worksheet

Interactive practice questions

Solve the inequality $2+\left|x\right|\ge9$2+|x|9.

Easy
1min

Solve the inequality $\left|x-7\right|\ge2$|x7|2.

Easy
1min

Solve the inequality $\left|x-4\right|\le9$|x4|9.

Easy
1min

Solve the inequality $\left|2x+3\right|\le5$|2x+3|5.

Easy
2min
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Outcomes

A2.EI.1

The student will represent, solve, and interpret the solution to absolute value equations and inequalities in one variable.

A2.EI.1c

Create an absolute value inequality in one variable to model a contextual situation.

A2.EI.1d

Solve an absolute value inequality in one variable and represent the solution set using set notation, interval notation, and using a number line.

A2.EI.1e

Verify possible solution(s) to absolute value equations and inequalities in one variable algebraically, graphically, and with technology to justify the reasonableness of answer(s). Explain the solution method and interpret solutions for problems given in context.

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