Question

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

Answer 1

x ≥ 1

Explanation:

Use the properties of inequalities and real numbers to solve the given inequality for x.

For the final step, divide both sides by -11. Since this is division by a negative number, the direction of the inequality should flip.

So, the solution to the inequality is x ≥ 1.

Answer 2

x ≥ 1

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