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Question 10 What is the solution of the inequality

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We are given the following inequality:


-6x-17\ge8x+25

To solve for "x" we will first subtract 8x to both sides:


\begin{gathered} -6x-8x-17\ge8x-8x+25 \\ -14x-17\ge25 \end{gathered}

Now we will add 17 to both sides:


\begin{gathered} -14x-17+17\ge25+17 \\ -14x\ge42 \end{gathered}

Dividing both sides by -14, and since we are dividing by a negative number we will invert the direction of the inequality sign:


x\le(42)/(-14)

Solving the operation:


x\le-3

Thererfore, the solution is x <= -3

User Chad Retz
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