K stands for a whole number.

k+7 is greater than 100

k-7 is less than 90

Find all the numbers that k could be

If (k+7) is greater than 100, then,

k+7 > 100

k+7-7 > 100-7

k > 93

If (k-7) is less than 90, then,

k-7 < 90

k-7+7 < 90+7

k < 97

Combine the two solutions k > 93 and k < 97 to get this compound inequality:

93 < k < 97

The number k is between 93 and 97. We are not including 93. We are not including 97.

If k is a whole number, then this is the set of possible values for k: {94, 95, 96}

Answer: 94, 95, or 96