Question

1. 6x ≥ -24 and 9x < 54

Explanation:

Step1: Solve \(6x \geq -24\)

Divide both sides by 6: \(x \geq \frac{-24}{6}\)
Simplify: \(x \geq -4\)

Step2: Solve \(9x < 54\)

Divide both sides by 9: \(x < \frac{54}{9}\)
Simplify: \(x < 6\)

Step3: Combine the inequalities

From Step1 and Step2, we have \(-4 \leq x < 6\)

Answer:

\(-4 \leq x < 6\)