Question

m and n are integers with m>n.the number of Integers between (but not including) m and n is​

Answer 1

Step-by-step explanation:

First you need to solve for n. The reason you solve for n is that the answer choices list possible values for m, the other variable. IF you solve for n, then you can plug the possible values for m into the formula and see when you get a non-integer for n, since n must be an integer.

mn=3(m+1)+n

mn−n=3(m+1)

n(m−1)=3(m+1)

n=

(m−1)

3(m+1)

m n=

(m−1)

3(m+3)

2 n=

(2−1)

3(2+1)

=9

3 n=

(3−1)

3(3+1)

=6

4 n=

(4−1)

3(4+1)

=5

5 n=

(5−1)

3(5+1)

=

4

18

=

2

9

7 n=

(7−1)

3(7+1)

=4

Only a value of 5 for m does not produce an integer for n

Answer 2

Step-by-step explanation:

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