Question

solve for x. your answer must be simplified. 2x < 15

Explanation:

Step1: Isolate x by dividing both sides by 2.

To solve for \( x \) in the inequality \( 2x < 15 \), we divide both sides of the inequality by 2. Since 2 is a positive number, the direction of the inequality sign remains the same.
\[
\frac{2x}{2} < \frac{15}{2}
\]

Step2: Simplify both sides.

Simplifying the left side gives \( x \), and simplifying the right side gives \( \frac{15}{2} \) (or 7.5). So we have:
\[
x < \frac{15}{2}
\]

Answer:

\( x < \frac{15}{2} \) (or \( x < 7.5 \))