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Question

# Solve the Inequality. Graph the solution, If possible. $-2|3 z+6|+3>27$

Solution

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Step 1
1 of 3

$\textbf{Given:}$

$-2\left|3z+6\right|+3>27$

Subtract $3$ from above inequality:

$\Rightarrow -2\left|3z+6\right|+3-3>27-3$

$-2\left|3z+6\right|>24, \ \text{divide by} \ -2$

The sign of inequality is also changed as inequality is divided by a negative number.

$\Rightarrow \dfrac{-2}{-2}\left|3z+6\right|<\dfrac{24}{-2}$

Simplifying the above inequality:

$\Rightarrow \left|3z+6\right|<-12$

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