Question

solve the inequality and graph the solution on the line provided.
-9 + 7x ≤ 40
answer
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: Add 9 to both sides

$-9 + 7x + 9 \leq 40 + 9$
$7x \leq 49$

Step2: Divide by 7 on both sides

$\frac{7x}{7} \leq \frac{49}{7}$
$x \leq 7$

Answer:

Inequality Notation: $x \leq 7$
Number Line: Draw a closed circle at 7, and shade all values to the left of 7 (including 7) on the provided number line.