Question

answer the following questions. 1) solve the inequality and choose the graph for the solution. use a calculator as needed. -39 - 5.4x ≥ -66 x ≤ 5 x ≥ 5 x ≤ -5 x < -5

Explanation:

Step1: Add 39 to both sides

$-39 - 5.4x+39\geq - 66 + 39$
$-5.4x\geq - 27$

Step2: Divide both sides by -5.4 and reverse the inequality sign

$x\leq\frac{-27}{-5.4}$
$x\leq5$
The graph of $x\leq5$ has a closed - circle at 5 (because the inequality includes equality) and the line extends to the left.

Answer:

$x\leq5$; the graph with a closed - circle at 5 and the red line extending to the left.