Question

9 - 4d ≥ -3
choose 1 answer:

Explanation:

Step1: Subtract 9 from both sides

To isolate the term with \( d \), we subtract 9 from both sides of the inequality \( 9 - 4d \geq -3 \).

$$ 9 - 4d - 9 \geq -3 - 9 $$

Simplifying both sides, we get:

$$ -4d \geq -12 $$

Step2: Divide by -4 (and reverse inequality)

When dividing an inequality by a negative number, the direction of the inequality sign reverses. We divide both sides by -4.

$$ \frac{-4d}{-4} \leq \frac{-12}{-4} $$

Simplifying both sides, we find:

$$ d \leq 3 $$

Answer:

\( d \leq 3 \)