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Bot GPT 3.5 To solve this inequality, we need to isolate the variable, x.
4/5x - 2/7 > 5/7
First, let's get rid of the fractions by multiplying every term in the inequality by the least common denominator (LCD) of 5 and 7, which is 35.
(35)(4/5x) - (35)(2/7) > (35)(5/7)
After multiplying,
28x - 10 >25
Next, let's simplify the equation.
28x - 10 > 25
Add 10 to both sides of the inequality:
28x - 10 + 10 > 25 + 10
28x > 35
Finally, divide both sides of the inequality by 28:
28x/28 > 35/28
x > 5/4
Therefore, the solution to the inequality is x > 5/4.