To solve the inequality [tex]\(\frac{x}{2} < 7\)[/tex], follow these steps:
1. Begin with the given inequality:
[tex]\[
\frac{x}{2} < 7
\][/tex]
2. To isolate [tex]\(x\)[/tex], you need to eliminate the fraction. Multiply both sides of the inequality by 2:
[tex]\[
2 \cdot \frac{x}{2} < 2 \cdot 7
\][/tex]
3. Simplify the left side where the 2's cancel each other out:
[tex]\[
x < 14
\][/tex]
So, the inequality [tex]\(\frac{x}{2} < 7\)[/tex] is equivalent to [tex]\(x < 14\)[/tex]. Therefore, the correct answer is:
B. [tex]\(x < 14\)[/tex]
