Question

1. solve the inequality and graph its solution.

• 4m ≥ - 4

Explanation:

Step1: Divide both sides by -4

When dividing an inequality by a negative number, the inequality sign flips. So, divide both sides of \(-4m \geq -4\) by \(-4\): \(\frac{-4m}{-4} \leq \frac{-4}{-4}\)

Step2: Simplify both sides

Simplifying gives \(m \leq 1\)

To graph the solution: Draw a number line. Put a closed circle at 1 (since the inequality is "less than or equal to") and shade to the left of 1 to represent all numbers less than or equal to 1.

Answer:

The solution to the inequality is \(m \leq 1\). The graph has a closed circle at 1 and shading to the left.