Question

5 - 5x > -2
answer
< > ≤ ≥ or
inequality notation:
number line:
-12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12
click and drag to plot line.

Explanation:

Step1: Isolate the term with x

Subtract 5 from both sides of the inequality $5 - 5x>-2$.
$5-5 - 5x>-2 - 5$
$-5x>-7$

Step2: Solve for x

Divide both sides by - 5. When dividing an inequality by a negative number, the direction of the inequality sign changes.
$\frac{-5x}{-5}<\frac{-7}{-5}$
$x <\frac{7}{5}=1.4$

Answer:

<, $x < 1.4$
(For the number - line, you would plot an open circle at 1.4 and draw a line to the left of 1.4)