Question

Determine the largest integer value of x in the solution of the following inequality.

2x - 2 < 11

A. 7
B. 6
C. 8
D. 5

Answer 1

To solve the inequality 2x - 2 < 11, we simplify to find x < 6.5. The largest integer value less than 6.5 is 6, so the answer is B. 6.

Step-by-step explanation:

To find the largest integer value of x in the inequality 2x - 2 < 11, we first need to simplify the inequality. Here is the step-by-step process:

1. Add 2 to both sides to isolate the term with x: 2x - 2 + 2 < 11 + 2, which simplifies to 2x < 13.
2. Divide both sides by 2 to solve for x: 2x / 2 < 13 / 2, which simplifies to x < 6.5.
3. Since we are looking for the largest integer value of x, we need to consider the integer that is less than 6.5. Therefore, the largest integer that satisfies the inequality is 6.

Thus, the answer is B. 6.