Question

solve for $x$ and graph the solution on the number line below.
$58\geq5x + 3>-42$
answer attempt 1 out of 3
$<LXB0\leqLXB1or$
inequality notation:
number line:
click and drag to plot line.
submit answer

Explanation:

Step1: Subtract 3 from all parts

$$\begin{align*} 58-3&\geq5x + 3-3>-42 - 3\\ 55&\geq5x>-45 \end{align*}$$

Step2: Divide all parts by 5

$$\begin{align*} \frac{55}{5}&\geq\frac{5x}{5}>\frac{-45}{5}\\ 11&\geq x>-9 \end{align*}$$

Answer:

Inequality Notation: \(-9 < x\leq11\)

For the number - line: Place a closed circle at \(x = 11\) (because \(x\) can be equal to \(11\)) and an open circle at \(x=-9\) (because \(x\) cannot be equal to \(-9\)), then draw a line segment connecting these two points.