Question

question
solve the inequality and graph the solution on the line provided.
11 + 8x ≥ -45
answer attempt 1 out of 2
< > ≤ ≥ or
inequality notation:
number line:

Explanation:

Step1: Subtract 11 from both sides

$$11 + 8x-11\geq - 45-11$$
$$8x\geq - 56$$

Step2: Divide both sides by 8

$$\frac{8x}{8}\geq\frac{-56}{8}$$
$$x\geq - 7$$

Answer:

Inequality Notation: \(x\geq - 7\)

For the number - line: Plot a closed circle at \(x = - 7\) (because the inequality is \(\geq\)) and draw a line to the right of \(x=-7\) towards positive infinity.