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solve for d. -2 > \\frac{d - 9}{4} > -4 write your answer as a compound…

Question

solve for d.
-2 > \frac{d - 9}{4} > -4
write your answer as a compound inequality with integers.

Explanation:

Step1: Multiply all parts by 4

$$-2 \times 4 > \frac{q-9}{4} \times 4 > -4 \times 4$$
$$-8 > q - 9 > -16$$

Step2: Add 9 to all parts

$$-8 + 9 > q - 9 + 9 > -16 + 9$$
$$1 > q > -7$$

Step3: Rearrange for standard form

$$-7 < q < 1$$

Answer:

$-7 < q < 1$