Question

solve the inequality below:
$4(x + 2) < 20$
graph the equation below.

Explanation:

Step1: Divide both sides by 4

To isolate the term with \( x \), divide both sides of the inequality \( 4(x + 2) < 20 \) by 4. Since 4 is positive, the direction of the inequality sign remains the same.

$$ \frac{4(x + 2)}{4} < \frac{20}{4} $$

Simplifying both sides gives:

$$ x + 2 < 5 $$

Step2: Subtract 2 from both sides

To solve for \( x \), subtract 2 from both sides of the inequality \( x + 2 < 5 \).

$$ x + 2 - 2 < 5 - 2 $$

Simplifying both sides gives:

$$ x < 3 $$

Answer:

\( x < 3 \)