Question

solve for a. 2a < -2

Explanation:

Step1: Divide both sides by 2

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

Step2: Simplify both sides

Simplifying the left side, \( \frac{2a}{2} = a \). Simplifying the right side, \( \frac{-2}{2} = -1 \). So the inequality becomes \( a < -1 \).

Answer:

\( a < -1 \)