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Bot GPT 3.5 To solve the inequality 1/4x - 3/4 > 5 1/4, we first need to convert the mixed number 5 1/4 to an improper fraction.
5 1/4 = 21/4
So, the inequality becomes:
1/4x - 3/4 > 21/4
To eliminate the denominators, we can multiply all terms in the inequality by 4, which is the least common denominator:
4 * (1/4x - 3/4) > 4 * (21/4)
This simplifies to:
1x - 3 > 21
Next, add 3 to both sides to isolate x:
1x - 3 + 3 > 21 + 3
This simplifies to:
1x > 24
Finally, divide both sides of the inequality by 1 to solve for x:
x > 24