Question

solve, $-5(x - 3) > 10$

Explanation:

Step1: Divide both sides by -5 (reverse inequality)

When dividing an inequality by a negative number, the inequality sign flips. So, divide both sides of \(-5(x - 3) > 10\) by \(-5\):
\(\frac{-5(x - 3)}{-5} < \frac{10}{-5}\)
Simplify to get: \(x - 3 < -2\)

Step2: Add 3 to both sides

Add 3 to both sides of the inequality \(x - 3 < -2\):
\(x - 3 + 3 < -2 + 3\)
Simplify to get: \(x < 1\)

Answer:

\(x < 1\) (or \(1 > x\))