Question

question
solve for x and graph the solution on the number line below.
58 ≥ 5x + 3 > -42
answer attempt 1 out of 2
inequality notation:
number line:

Explanation:

Step1: Subtract 3 from all parts

$58 - 3 \geq 5x + 3 - 3 > -42 - 3$
$55 \geq 5x > -45$

Step2: Divide all parts by 5

$\frac{55}{5} \geq \frac{5x}{5} > \frac{-45}{5}$
$11 \geq x > -9$

Step3: Rewrite for standard notation

$-9 < x \leq 11$

For the number line:

• Draw an open circle at $x=-9$ (since $x$ is greater than, not equal to, -9) and a closed circle at $x=11$ (since $x$ is less than or equal to 11).
• Shade the region between these two points on the number line.

Answer:

Inequality Notation: $-9 < x \leq 11$
Number Line: Open circle at -9, closed circle at 11, shaded interval between -9 and 11.