Question

solve the inequality and graph the solution on the line provided.

$15 + 4x \leq 11$

answer
attempt 1 out of 2
inequality notation:
number line:
number line from -12 to 12 with tick marks at each integer
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Explanation:

Step1: Subtract 15 from both sides

$15 + 4x - 15 \leq 11 - 15$
$4x \leq -4$

Step2: Divide both sides by 4

$\frac{4x}{4} \leq \frac{-4}{4}$
$x \leq -1$

Step3: Graph on number line

Draw a closed circle at $x=-1$, shade all values to the left of $-1$ (including $-1$) on the provided number line.

Answer:

Inequality Notation: $x \leq -1$
Number Line: Closed circle at $-1$, shaded region to the left of $-1$ (covering all values $\leq -1$)