Question

Question 10 What is the solution of the inequality

Answer 1

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:

$x\le\frac{42}{-14}$

Solving the operation:

$x\le-3$

Thererfore, the solution is x <= -3