Question

solve the inequality and graph the solution on the line provided.
57 + 6x ≥ 45
answer attempt 1 out of 5
< > ≤ ≥ or
inequality notation:
number line:

Explanation:

Step1: Subtract 57 from both sides

$$57 + 6x-57\geq45 - 57$$
$$6x\geq - 12$$

Step2: Divide both sides by 6

$$\frac{6x}{6}\geq\frac{-12}{6}$$
$$x\geq - 2$$

Answer:

Inequality Notation: \(x\geq - 2\)

For the number - line: Place a closed circle at \(x = - 2\) (because the inequality is \(\geq\)) and shade to the right of \(x=-2\) since \(x\) is greater than or equal to \(-2\).