Question

question
solve the inequality and graph the solution on the line provided.
$8x + 3 \geq -37$
answer attempt 1 out of 2
$\lt$ $\gt$ $\leq$ $\geq$ or
inequality notation:
number line:
-12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12
click and drag to plot line
submit answer

Explanation:

Step1: Subtract 3 from both sides

To isolate the term with \( x \), we subtract 3 from both sides of the inequality \( 8x + 3 \geq -37 \). This gives us \( 8x + 3 - 3 \geq -37 - 3 \), which simplifies to \( 8x \geq -40 \).

Step2: Divide both sides by 8

Next, we divide both sides of the inequality \( 8x \geq -40 \) by 8 to solve for \( x \). This results in \( \frac{8x}{8} \geq \frac{-40}{8} \), which simplifies to \( x \geq -5 \).

Answer:

Inequality Notation: \( x \geq -5 \)
For the number line: Place a closed circle at -5 (since the inequality is "greater than or equal to") and draw an arrow to the right to represent all numbers greater than or equal to -5.