Question

7. Solve the inequality.
-30>-4a+18-2(2^3-a)

Answer 1

Answer:

a ≥ 16

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

• $-30 \geq -4a + 18 -16 + 2a$

• $-30 \geq -2a + 2$

Step 2: Flip the equation.

• $-2a + 2 \leq -30$

Step 3: Subtract 2 from both sides.

• $-2a + 2 -2 \leq -30-2$
• $-2a \leq -32$

Step 4: Divide both sides by -2 and flip the sign.

• $(-2a)/(-2) \leq -32/(-2)$

• $a \geq 16$