Question

solve the inequality. graph the solution.
$-3(5x - 1) > -57$
the solution is $square$.
(type an inequality. simplify your answer.)

Explanation:

Step1: Divide both sides by -3

Reverse inequality sign when dividing by negative number:
$$\frac{-3(5x-1)}{-3} < \frac{-57}{-3}$$
Simplify to get: $5x - 1 < 19$

Step2: Add 1 to both sides

Isolate the term with $x$:
$5x - 1 + 1 < 19 + 1$
Simplify to get: $5x < 20$

Step3: Divide both sides by 5

Solve for $x$:
$$\frac{5x}{5} < \frac{20}{5}$$
Simplify to get: $x < 4$

Answer:

$x < 4$

Graph note: On a number line, draw an open circle at 4, and shade all values to the left of 4.