Question

solve the inequality and graph the solution.
4(r - 6) ≤ -8
plot the endpoints. select an endpoint to change it from closed to open. select the middle of the segment, ray, or line to delete it.
-5 -4 -3 -2 -1 0 1 2 3 4 5
submit

Explanation:

Step1: Divide both sides by 4

$\frac{4(r-6)}{4} \leq \frac{-8}{4}$
Simplifies to: $r - 6 \leq -2$

Step2: Add 6 to both sides

$r - 6 + 6 \leq -2 + 6$
Simplifies to: $r \leq 4$

Step3: Graph the solution

• Plot a closed endpoint at $4$ (since the inequality is $\leq$, the value 4 is included).
• Draw a ray extending to the left from 4, covering all values less than or equal to 4.

Answer:

The solution to the inequality is $r \leq 4$. For the graph: place a closed dot at 4 on the number line, and shade/extend a ray to the left from this point.