Answer:
To solve the inequality 2(4x + 3) ≥ 7, we follow these steps:
1. Distribute the 2 on the left side of the inequality:
8x + 6 ≥ 7
2. Subtract 6 from both sides of the inequality to isolate the variable:
8x ≥ 7 - 6
8x ≥ 1
3. Divide both sides of the inequality by 8:
x ≥ 1/8
Therefore, the solution for the inequality 2(4x + 3) ≥ 7 is x ≥ 1/8.