1 answer
(click or scroll down)
To solve the inequality, we need to isolate x on one side of the inequality sign.
Given: 4/7x - 2/7 > 5/7
Adding 2/7 to both sides of the inequality:
4/7x - 2/7 + 2/7 > 5/7 + 2/7
Simplifying:
4/7x > 7/7
Dividing both sides of the inequality by 4/7 (the coefficient of x):
(4/7x)/(4/7) > (7/7)/(4/7)
Simplifying:
x > 7/7*7/4
x > 7/4
Since we want the mixed number form, we can divide the numerator 7 by the denominator 4:
7 ÷ 4 = 1 remainder 3
So, x > 1 3/4 is the solution to the inequality.