solve 1/4 x - 3/4 > 5 /14

Question

A X > 18
B X > 21 3/4
C X > 1 1/2
D X > 24

Answer 1

To solve the inequality 1/4x - 3/4 > 5/14, we first need to get rid of the fractions.

Let's multiply the entire inequality by 28 to get rid of the fractions:

28 * (1/4)x - 28 * 3/4 > 28 * 5/14
7x - 21 > 10
7x > 31
x > 31/7
x > 4.428571

So, the correct answer is not provided in the options. The closest option is B X > 21 3/4, but the actual answer is X > 4.428571.