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If m + n - 2p < p + n + 4m
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16 Aug 2020, 04:42
16 Aug 2020, 04:42
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If m + n - 2p < p + n + 4m, which of the following inequalities must be true?
(A) 5m < 3p
(B) p > -m
(C) 3m > 3p + 2n
(D) p > 2
(E) n < p
(A) 5m < 3p
(B) p > -m
(C) 3m > 3p + 2n
(D) p > 2
(E) n < p
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Re: If m + n - 2p < p + n + 4m
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16 Aug 2020, 04:57
16 Aug 2020, 04:57
1
salsin2020 wrote:
If m + n - 2p < p + n + 4m, which of the following inequalities must be true?
(A) 5m < 3p
(B) p > -m
(C) 3m > 3p + 2n
(D) p > 2
(E) n < p
(A) 5m < 3p
(B) p > -m
(C) 3m > 3p + 2n
(D) p > 2
(E) n < p
Given: m + n - 2p < p + n + 4m
Subtract m from both sides of the inequality to get: n - 2p < p + n + 3m
Subtract n from both sides: -2p < p + 3m
Subtract p from both sides: -3p < 3m
Divide both sides by 3 to get: -p < m
This looks a lot like answer choice B. We just need to do one more thing.
Multiply both sides by -1 to get: p > -m [aside: since we multiply both sides by a NEGATIVE number, we must reverse the direction of the inequality symbol]
Answer: B
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Re: If m + n - 2p < p + n + 4m [#permalink]
16 Aug 2020, 04:57
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