Question

math 1 i will be able to write, solve, and graph the solution to an inequality using multiplication and division. which graph represents the solution of -7(x + 3) ≤ 28? a. -10 -9 -8 -7 -6 -5 -4 b. -10 -9 -8 -7 -6 -5 -4 c. 4 5 6 7 8 9 10 d. 4 5 6 7 8 9 10

Explanation:

Step1: Expand the left - hand side

$-7(x + 3)=-7x-21$, so the inequality becomes $-7x - 21\leqslant28$.

Step2: Add 21 to both sides

$-7x-21 + 21\leqslant28 + 21$, which simplifies to $-7x\leqslant49$.

Step3: Divide both sides by - 7 and reverse the inequality sign

Since we are dividing by a negative number, we have $x\geqslant - 7$.

Answer:

B. ← - 10 - 9 - 8 - 7 - 6 - 5 - 4 → (with a closed - circle at - 7 and the arrow pointing to the right)