To solve the inequality 4/7x - 2/7 > 5/7, we can start by getting rid of the fractions.
We can do this by multiplying both sides of the inequality by the denominator, which in this case is 7.
(7)(4/7x - 2/7) > (7)(5/7)
Now we simplify each term:
(4x - 2) > 5
Next, we isolate the variable by adding 2 to both sides:
4x - 2 + 2 > 5 + 2
This simplifies to:
4x > 7
Finally, divide both sides by 4 to solve for x:
(4x)/4 > 7/4
x > 7/4
Therefore, the solution to the inequality is x > 7/4.
4/7x - 2/7 > 5/7
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