QuestionAugust 26, 2025

Solve the inequality. (2)/(5)m-7leqslant 17 (1 point) mleqslant (5)/(2) mleqslant 24 mleqslant 60 mgeqslant 60

Solve the inequality. (2)/(5)m-7leqslant 17 (1 point) mleqslant (5)/(2) mleqslant 24 mleqslant 60 mgeqslant 60
Solve the inequality.
(2)/(5)m-7leqslant 17
(1 point)
mleqslant (5)/(2)
mleqslant 24
mleqslant 60
mgeqslant 60

Solution
4.7(327 votes)

Answer

m \leqslant 60 Explanation 1. Isolate the variable term Add 7 to both sides: \frac{2}{5}m - 7 + 7 \leqslant 17 + 7 simplifies to \frac{2}{5}m \leqslant 24. 2. Solve for m Multiply both sides by \frac{5}{2} to isolate m: m \leqslant 24 \times \frac{5}{2}, which simplifies to m \leqslant 60.

Explanation

1. Isolate the variable term<br /> Add 7 to both sides: $\frac{2}{5}m - 7 + 7 \leqslant 17 + 7$ simplifies to $\frac{2}{5}m \leqslant 24$.<br />2. Solve for $m$<br /> Multiply both sides by $\frac{5}{2}$ to isolate $m$: $m \leqslant 24 \times \frac{5}{2}$, which simplifies to $m \leqslant 60$.
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