solve the inequality 4/5n-12>24

3 answers

To solve the inequality, first we isolate the variable n by moving the constant term -12 to the right side:

4/5n - 12 > 24

4/5n > 36

Next, we multiply both sides of the inequality by 5 to get rid of the fraction:

5 * (4/5n) > 5 * 36

4n > 180

Finally, we divide both sides of the inequality by 4 to solve for n:

(4n)/4 > 180/4

n > 45

Therefore, the solution to the inequality is n > 45.
solve the inequality 10w+213 is greater than or equal to 299
To solve the inequality, we will first isolate the variable w:

10w + 213 ≥ 299

Next, we subtract 213 from both sides:

10w ≥ 299 - 213

10w ≥ 86

Finally, we divide both sides by 10 to solve for w:

w ≥ 86/10

w ≥ 8.6

Therefore, the solution to the inequality is w ≥ 8.6.
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