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Compound Inequalities and Absolute Values

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Solve the compound inequality. State the solution set using interval notation and graph it,

A.

B.

C.

Solve each absolute value equation and graph the solution set

A.

B.

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Compound inequalities are solved and graphed. Absolute values are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

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Solve the compound inequality. State the solution set using interval notation and graph it,

A.

Graph the first inequality

(Note that 0 is included)

Graph the second inequality
x + 6 > 3
x + 6 - 6 > 3 - 6
x > -3

The word "and" indicates that we need to find the intersection of these two graphs. The solution is shown below in the ...

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