write the word sentence as an inequality. then solve the inequality. the quotient of a number g and -4 is at…

Explanation:

Step1: Translate the word sentence to inequality

The quotient of a number (g) and (-4) is (\frac{g}{-4}), and "is at most (5)" means (\leq5). So the inequality is (\frac{g}{-4}\leq5).

Step2: Solve the inequality

Multiply both sides of the inequality (\frac{g}{-4}\leq5) by (- 4). When multiplying an inequality by a negative number, the direction of the inequality sign changes. So (g\geq5\times(-4)), which simplifies to (g\geq - 20).

Answer:

An inequality is (\frac{g}{-4}\leq5). The solution of this inequality is (g\geq - 20).