To solve the inequality, we can begin by subtracting 2/7 from both sides:
4/7x - 2/7 > 5/7
4/7x > 5/7 + 2/7
4/7x > 7/7
Next, we can simplify the right side of the inequality:
4/7x > 7/7
4/7x > 1
To isolate x, we can multiply both sides of the inequality by the reciprocal of 4/7, which is 7/4. However, when multiplying or dividing by a negative number, the inequality sign needs to be flipped:
(4/7x)(7/4) < 1(7/4)
x < 7/4
Therefore, the solution to the inequality is x is less than 7/4.
4/7x - 2/7>5/7
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