QUESTION IMAGE
Question
solve for d.
-2 > \frac{d - 9}{4} > -4
write your answer as a compound inequality with integers.
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
$$-7 < q < 1$$
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$-7 < q < 1$