Question

graph the solution to the compound or inequality.
3.2x + 4 ≤ 20 or 3.2x + 4 ≥ 52

Explanation:

Step1: Solve first inequality

Subtract 4 from both sides:
$3.2x + 4 - 4 \leq 20 - 4$
$3.2x \leq 16$
Divide by 3.2:
$x \leq \frac{16}{3.2}$
$x \leq 5$

Step2: Solve second inequality

Subtract 4 from both sides:
$3.2x + 4 - 4 \geq 52 - 4$
$3.2x \geq 48$
Divide by 3.2:
$x \geq \frac{48}{3.2}$
$x \geq 15$

Step3: Identify graph style

For $x \leq 5$: closed dot at 5, arrow left.
For $x \geq 15$: closed dot at 15, arrow right.

Answer:

On the number line:

1. Place a closed (filled) dot at 5, with an arrow pointing left (towards values less than 5).
2. Place a closed (filled) dot at 15, with an arrow pointing right (towards values greater than 15).