Question

Two distinct integers, m and n, are selected from the negative even integers greater than -10. If p is the sum of m and n, then what is the greatest possible value of m-n+p ?

          Two distinct integers, m and n, are selected from the negative even integers greater than -10. If p is the sum of m and n, then what is the greatest possible value of m-n+p ?
        

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Elementary and Intermediate Algebra
Elementary and Intermediate Algebra
Alan S. Tussy, R. David Gustafson 5th Edition
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Two distinct integers, m and n, are selected from the negative even integers greater than -10. If p is the sum of m and n, then what is the greatest possible value of m-n+p ?
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Transcript

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00:01 M and n are distinct integers that are negative even integers greater than negative 10.
00:07 So the only possibilities are negative 8, negative 6, negative 4, and negative 2.
00:14 We know that p is the sum of m and n, and we want the greatest possible value of m minus n plus p.
00:27 So if we take this p and plug it in over here, that's m minus n plus m plus n.
00:38 Simplifying it, we get 2m.
00:41 So we want the greatest possible value for 2m.
00:46 Well, if you plug in negative 8, that's going to give you negative 16.
00:52 If you plug in negative 6, that's negative 12...
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