To solve the inequality 4/7x - 2/7 > 5/7, we need to isolate the variable x on one side of the inequality.
First, let's combine the like terms on the left side of the inequality:
4/7x - 2/7 > 5/7
(4/7 - 2/7)x > 5/7
2/7x > 5/7
Now, we can multiply both sides of the inequality by the reciprocal of 2/7, which is 7/2:
(2/7x)(7/2) > (5/7)(7/2)
1x > 5/2
Thus, the solution to the inequality 4/7x - 2/7 > 5/7 is x > 5/2.
4/7x- 2/7>5/7
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