Question

1. -7x < 35

Explanation:

Step1: Divide both sides by -7

When dividing an inequality by a negative number, the inequality sign flips. So, divide both sides of \(-7x < 35\) by \(-7\):
\(\frac{-7x}{-7} > \frac{35}{-7}\)

Step2: Simplify both sides

Simplify the left side: \(\frac{-7x}{-7} = x\).
Simplify the right side: \(\frac{35}{-7} = -5\).

Answer:

\(x > -5\)