Question

solve the inequality. graph the solution set and write it in interval nota 3x - 5 < 5(x + 1)
choose the correct graph below.
write the answer in interval notation.

Explanation:

Step1: Expand the right - hand side

$3x - 5<5x + 5$

Step2: Move the $x$ terms to one side

$3x-5x<5 + 5$

Step3: Simplify both sides

$-2x<10$

Step4: Solve for $x$ (divide by - 2 and reverse the inequality sign)

$x>-5$

Answer:

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