Answer:
To solve the inequality (1/4n+12)>(3/4n-4), you can follow these steps:
Step 1: Simplify both sides of the inequality:
Start by multiplying both sides of the inequality by 4n to eliminate the denominators. This will give us:
4n * (1/4n+12) > 4n * (3/4n-4)
Simplifying further:
1 + 48n > 12n - 16
Step 2: Combine like terms:
Combine the n terms on one side and the constant terms on the other side of the inequality:
48n - 12n > -16 - 1
Simplifying further:
36n > -17
Step 3: Solve for n:
To isolate n, divide both sides of the inequality by 36:
(36n)/36 > (-17)/36
Simplifying further:
n > -17/36
So, the solution to the inequality is n > -17/36. This means that any value of n greater than -17/36 will satisfy the original inequality.
Explanation:
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