Question

inequality: $12x>4 + 4(-5x - 9)$
inequality notation
graph

Explanation:

Step1: Expand the right - hand side

$12x>4 + 4\times(-5x)-4\times9$
$12x>4-20x - 36$

Step2: Simplify the right - hand side

$12x>-20x - 32$

Step3: Add $20x$ to both sides

$12x + 20x>-20x+20x - 32$
$32x>-32$

Step4: Divide both sides by 32

$x>- 1$

Answer:

Inequality Notation: $x > - 1$
Graph: An open circle at $x=-1$ on the number - line and a line extending to the right.