Help with compound inequalities
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Help with compound inequalities

[From: ] [author: ] [Date: 11-11-08] [Hit: ]
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Solve 7≤ 3-2p < 11
Show each step please

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7 ≤ 3 - 2p < 11
7 - 3 ≤ 3 - 3 - 2p < 11 - 3
4 ≤ -2p < 8...now divide by -2 and remember to switch the inequalities when multiplying or dividing by negative numbers
4/(-2) ≥ -2p/(-2) > 8/(-2)
-2 ≥ p > -4
-4 < p ≤ -2
1
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