1/4x + 13 > .25(2x-32)
First you distribute
1/4x+13>0.5x-8
Subtract 0.5 both sides of the greater than sign
0.25x+13>-8
Divide 0.25 on both sides of the greater than sign
X>-84
Thanks many many times
To solve the inequality 1/4x + 13 > .25(2x-32), follow these steps:
Step 1: Distribute the .25 to the terms inside the parentheses on the right side of the inequality:
1/4x + 13 > .25 * 2x - .25 * 32
Step 2: Simplify the right side:
1/4x + 13 > 0.5x - 8
Step 3: To eliminate fractions, multiply all terms by the least common multiple (LCM) of the denominators. In this case, the LCM is 4:
(1/4) * 4x + 13 * 4 > (0.5 * 4)x - 8 * 4
x + 52 > 2x - 32
Step 4: Move all x terms to one side and the constant terms to the other side of the inequality:
x - 2x > -32 - 52
-x > -84
Step 5: Divide both sides of the inequality by -1. Remember to flip the inequality sign because we divided by a negative number:
x < -84 / -1
x < 84
So the solution to the inequality 1/4x + 13 > .25(2x-32) is x < 84.