solve the inequality 7/5(10m-1)<2/3(6m+5)?

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solve the inequality 7/5(10m-1)<2/3(6m+5)?

2007-12-21 11:12:51 · 3 answers · asked by christi 1 in Science & Mathematics ➔ Mathematics

3 answers

First distribute, giving you (70/5)m-(7/5) < 4m+(10/3).
Simplifying this gives you 14m-(7/5)<4m+(10/3).
Then, subtract 4m from each side and add (7/5) to each side. This gives you:
10m<71/15. Then, divide by 10.Thus, m<71/150.

2007-12-21 11:23:41 · answer #1 · answered by chetna 1 · 0⤊ 0⤋

7/5(10m-1)<2/3(6m+5)

14m-7/5<4m+10/3

10m<10/3+7/5

10m < 50/15+ 21/15
10m<71/15
150m<71 multiply both sides by 15
m=71/150

2007-12-21 14:14:39 · answer #2 · answered by Dave aka Spider Monkey 7 · 0⤊ 0⤋

7/5(10m-1) < 2/3(6m+5)
14m-7/5 < 4m+10/3
10m < 10/3+7/5
10m < (50/15+21/15)
m < (71/15)/10
m < (71/150)

2007-12-21 11:23:49 · answer #3 · answered by J D 5 · 0⤊ 0⤋