Question

solve the inequality. graph the solution set and write it
x - 15 < 5(x + 1)
choose the correct graph below.
a.
-5
0
c.
-5
0
write the answer in interval notation.

Explanation:

Step1: Expand the right - hand side

$x - 15<5x + 5$

Step2: Move x terms to one side

$x-5x<5 + 15$

Step3: Simplify both sides

$-4x<20$

Step4: Solve for x (divide by - 4 and reverse the inequality sign)

$x>- 5$

Answer:

The correct graph is a number line with an open circle at - 5 and the line extending to the right. In interval notation, the solution set is $(-5,\infty)$