Please Solve the inequality:
x + .06(12000-x) >= 650
Start by simplifying the left side.
x + 720 - .06x >= 650
.94x + 720 >= 650
.94x >= -70
x >= 74.468
To solve the inequality x + 0.06(12000 - x) ≥ 650, we can follow these steps:
Step 1: Distribute the 0.06 to the terms inside the parentheses:
x + 0.06 * 12000 - 0.06 * x ≥ 650
Simplifying further:
x + 720 - 0.06x ≥ 650
Step 2: Combine like terms:
x - 0.06x + 720 ≥ 650
Simplifying further:
0.94x + 720 ≥ 650
Step 3: Move the constant term 720 to the other side of the inequality by subtracting it from both sides:
0.94x ≥ 650 - 720
Simplifying further:
0.94x ≥ -70
Step 4: Divide both sides of the inequality by 0.94 to isolate x:
x ≥ -70 / 0.94
Simplifying further:
x ≥ -74.47
So, the solution to the inequality is x ≥ -74.47.