Eric is solving the inequality 9x + 15 > 51 and graphing the solution. Which of the following describe the steps he should take using inverse operations to solve 4 steps btw
To solve the inequality 9x + 15 > 51 using inverse operations in four steps, Eric can follow these steps:
Step 1: Subtract 15 from both sides of the inequality to isolate the variable term:
9x + 15 - 15 > 51 - 15
9x > 36
Step 2: Divide both sides of the inequality by 9 to solve for x:
(9x)/9 > 36/9
x > 4
Step 3: Write down the solution in interval notation since x is greater than 4:
x ∈ (4, ∞)
Step 4: Graph the solution on a number line. Since x is greater than 4, we fill in the number line starting from 4 and shading to the right.