Question

Solve the inequality: −5x−4≤6

Answer 1

x > -2

Explanation:

Inequalities compare the values of 2 expressions.

Solving for x

To solve the inequality, we need to isolate x. First, add 4 to both sides.

• -5x ≤ 10

Then, divide by 5.

• -x ≤ 2

Finally, divide both sides by -1. When multiplying or dividing an inequality by a negative, switch the direction of the sign.

• x > -2

Interpreting the Answer

Verbally, the answer is that x is greater than or equal to -2. This means that any x-value greater than -2 (including -2 itself) will make the original inequality, −5x−4 ≤ 6, true. For example, let's plug in 0.

• -5(0) - 4 ≤6
• -4 ≤ 6

This statement is true, which proves our answer is correct.