Question

What is the solution of the given inequality? -4(2x+1)<_3(x-5)

Answer 1

Answer:

x ≥ 1

Step-by-step explanation:

Solve the inequality by solving for x.

Solve:

-4(2x + 1) ≤ 3(x - 5)

Use the distributive property.

-8x - 4 ≤ 3(x - 5)

-8x - 4 ≤ 3x - 15

Subtract 3x from both sides.

-11x - 4 ≤ -15

Add 4 to both sides.

-11x ≤ -11

Divide both sides by -11, also flip the inequality since you're dividing by a negative number.

x ≥ 1

Your final answer would be x ≥ 1