Solve 4/7x−2/7>5/7 .

1 answer

To solve the inequality, you want to isolate the variable, which is x in this case.

First, you can simplify the left side of the equation by combining the fractions:
4/7x - 2/7 > 5/7

Next, you can add 2/7 to both sides to get rid of the -2/7 on the left side:
4/7x > 5/7 + 2/7
4/7x > 7/7

Simplify the right side:
4/7x > 1

Finally, to isolate x, you can multiply both sides of the inequality by the reciprocal of 4/7, which is 7/4 (flip and multiply):
(4/7x)(7/4) > 1(7/4)
x > 7/4

Therefore, the solution is x > 7/4.
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