Question

Quick algebra 1 question for 10 points!

Answer 1

Answer:

$\textsf{D. }x\leq-2$

Step-by-step explanation:

Given inequality: $3(x+2)\leq5(-2-x)$

Step 1: Distribute $3$ and $5$ through the parentheses.

$\implies 3(x)+3(2)\leq5(-2)+5(-x)$

$\implies 3x+6\leq-10-5x$

Step 2: Subtract $6$ from both sides.

$\implies 3x+6-6\leq-10-6-5x$

$\implies 3x\leq-16-5x$

Step 3: Add $5x$ to both sides.

$\implies 3x+5x\leq-16-5x+5x$

$\implies 8x\leq-16$

Step 4: Divide both sides by $8$.

$\implies \dfrac{8x}{8}\leq\dfrac{-16}{8}$

$\implies x\leq-2$

Answer 2

Answer:

x ≤ -2

Step-by-step explanation:

3(x + 2) ≤ 5(-2 - x)

Distribute on both sides.

3x + 6 ≤ -10 - 5x

Add 5x to both sides.

8x + 6 ≤ -10

Subtract 6 from both sides.

8x ≤ -16

Divide both sides by 8.

x ≤ -2