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  • 5. Solve for x, the inequalities in -5 <2-3x/4<9

Solve for x, the inequalities in -5\leq \frac{2-3x}{4}\leq 9

Answers (1)

Given  -5\leq \frac{2-3x}{4}\leq 9

On multiplying all the terms by 4, we get,

-20\leq 2-3x\leq 36

Now, add -2 to each term,

-22\leq -3x\leq 34

And now, divide each term by 3,

-22/3\leq -x\leq 34/3

Now, we will multiply each term by -1 to invert the inequality, we get,

-34/3\leq x\leq 22/3

 

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infoexpert22

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