Question

solve the inequality and graph the solution.
-5 > 5(a + 1) + 5
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.
submit

Explanation:

Step1: Simplify right-hand side

$ -5 > 5a + 5 + 5 $
$ -5 > 5a + 10 $

Step2: Isolate the variable term

$ -5 - 10 > 5a $
$ -15 > 5a $

Step3: Solve for $a$

$ \frac{-15}{5} > a $
$ -3 > a $ or $ a < -3 $

Step4: Graph setup

For $a < -3$, use an open circle at $a=-3$ (since the inequality is strict, no equality) and draw a ray pointing left from $-3$ to represent all values less than $-3$.

Answer:

The solution to the inequality is $a < -3$. To graph it:

1. Place an open endpoint at $-3$ on the number line.
2. Draw a ray extending to the left from this open endpoint to include all values less than $-3$.