Question

Which inequality has solution that includes 12 13 and 14 A 2x < 13 + 15 B 2x > 11 + 13 C 2x > 34 - 6 D 2x < 12

Answer 1

To determine which inequality includes the numbers 12, 13, and 14 as part of its solution, we should analyze each option:

A) \( 2x < 13 + 15 \)
\( 2x < 28 \)
\( x < 14 \)
- This inequality includes 12 and 13 but does not include 14.

B) \( 2x > 11 + 13 \)
\( 2x > 24 \)
\( x > 12 \)
- This inequality includes 13 and 14, but does not include 12.

C) \( 2x > 34 - 6 \)
\( 2x > 28 \)
\( x > 14 \)
- This inequality includes 15 and greater, but does not include 12, 13, or 14.

D) \( 2x < 12 \)
\( x < 6 \)
- This inequality does not include any of the numbers 12, 13, or 14.

The correct answer is **B) \( 2x > 11 + 13 \)**, because it includes 13 and 14, but not 12. Therefore, none of the inequalities include all three numbers, but B contains two of them (13 and 14).