To solve the inequality (1/4)x - 3/4 > 5 1/4, let's follow the steps:
1. Simplify the right side: 5 1/4 = 1/4 + 5 = 21/4.
Now the inequality becomes: (1/4)x - 3/4 > 21/4.
2. Add 3/4 to both sides of the inequality:
(1/4)x - 3/4 + 3/4 > 21/4 + 3/4
(1/4)x > 24/4
(1/4)x > 6.
3. Multiply both sides of the inequality by 4 to get rid of the fraction:
4 * (1/4)x > 4 * 6
x > 24.
Therefore, the solution to the inequality is x > 24.
Solve 1/4x−3/4>5 1/4 .(1 point)
Responses
x>18
x greater than 18
x>24
x greater than 24
x>2134
x greater than 21 Start Fraction 3 over 4 end fraction
x>112
1 answer