Question

solve the inequality for x.
2 > -3 + 5x
simplify your answer as much as possible.

Explanation:

Step1: Add 3 to both sides

To isolate the term with \( x \), we add 3 to both sides of the inequality \( 2 > -3 + 5x \). This gives \( 2 + 3 > -3 + 3 + 5x \), which simplifies to \( 5 > 5x \).

Step2: Divide both sides by 5

Now, we divide both sides of the inequality \( 5 > 5x \) by 5. Since 5 is positive, the direction of the inequality sign remains the same. So we have \( \frac{5}{5} > \frac{5x}{5} \), which simplifies to \( 1 > x \) or \( x < 1 \).

Answer:

\( x < 1 \)