Question

question
solve the inequality and graph the solution on the line provided.
7x - 12 ≥ - 54
answer
inequality notation:
number line:

Explanation:

Step1: Add 12 to both sides

$$7z-12 + 12\geq-54 + 12$$
$$7z\geq-42$$

Step2: Divide both sides by 7

$$\frac{7z}{7}\geq\frac{-42}{7}$$
$$z\geq - 6$$

Answer:

Inequality Notation: \(z\geq - 6\)

For the number line: Draw a number line. Put a closed circle at \(-6\) (since the inequality is \(\geq\), which includes \(-6\)) and shade to the right of \(-6\) (because \(z\) is greater than or equal to \(-6\)).