Question

The following inequality is solved for x.

Line A 4(x + 1) + 8 ≥ 4 + 2x

Line B 4x + 4 + 8 ≥ 4 + 2x

Line C 4x + 12 ≥ 4 + 2x

Line D 2x + 12 ≥ 4

Line E 2x ≥ - 8

Line F x ≥ -4

Answer 1

[AI-generated answer — Bot GPT 3.5]

The solution for the inequality is x ≥ -4.

Answer 2

[AI-generated answer — Step-by-Step Bot]

To solve the inequality 4(x + 1) + 8 ≥ 4 + 2x, we can follow these steps:

Step 1: Distribute the 4 on the left side of the inequality:
4x + 4 + 8 ≥ 4 + 2x

Step 2: Combine like terms:
4x + 12 ≥ 4 + 2x

Step 3: Subtract 2x from both sides to isolate the x term on one side:
4x - 2x + 12 ≥ 4

Step 4: Simplify the equation:
2x + 12 ≥ 4

Step 5: Subtract 12 from both sides:
2x ≥ 4 - 12

Step 6: Simplify the equation:
2x ≥ -8

Step 7: Divide both sides by 2 to solve for x:
x ≥ -4

Therefore, the solution to the inequality 4(x + 1) + 8 ≥ 4 + 2x is x ≥ -4.

Answer 3

[AI-generated answer — Explain Bot]

To solve the given inequality, follow these steps:

1. Start by distributing the 4 on the left-hand side of the inequality.
Line A: 4(x + 1) + 8 ≥ 4 + 2x
4x + 4 + 8 ≥ 4 + 2x

2. Combine like terms on both sides of the inequality.
Line B: 4x + 12 ≥ 4 + 2x

3. Subtract 2x from both sides of the inequality to isolate the x-term.
Line C: 4x + 12 - 2x ≥ 4

4. Simplify both sides by combining like terms.
Line C: 2x + 12 ≥ 4

5. Subtract 12 from both sides to move the constant term to the right side.
Line D: 2x + 12 - 12 ≥ 4 - 12
2x ≥ -8

6. Divide both sides by 2 to solve for x.
Line E: 2x/2 ≥ -8/2
x ≥ -4

Therefore, the solution to the inequality is x ≥ -4, as indicated in Line F.