solve and graph the ineqaulity 9x + 15 > 51 but the > has a line underneath it

Answer 1

To solve the inequality 9x + 15 ≥ 51, we need to isolate x.

Step 1: Subtract 15 from both sides of the inequality:
9x + 15 - 15 ≥ 51 - 15
9x ≥ 36

Step 2: Divide both sides of the inequality by 9:
9x/9 ≥ 36/9
x ≥ 4

The solution to the inequality is x ≥ 4.

To graph the solution on a number line, we represent x ≥ 4 by drawing a closed circle at 4 (since the inequality includes equality) and shading to the right of 4 to represent all numbers greater than or equal to 4.