Question

question
solve the inequality and graph the solution on the line provided.
$5 + 8x \geq 53$
answer attempt 1 out of 2
inequality notation:
number line:
-12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12
click and drag to plot line.
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Explanation:

Step1: Subtract 5 from both sides

To isolate the term with \( x \), we subtract 5 from both sides of the inequality \( 5 + 8x \geq 53 \). This gives us \( 5 + 8x - 5 \geq 53 - 5 \), which simplifies to \( 8x \geq 48 \).

Step2: Divide both sides by 8

Next, we divide both sides of the inequality \( 8x \geq 48 \) by 8 to solve for \( x \). So, \( \frac{8x}{8} \geq \frac{48}{8} \), which simplifies to \( x \geq 6 \).

Answer:

Inequality Notation: \( x \geq 6 \)
For the number line: We place a closed circle at 6 (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 6.