Question

The sum of 3 and a number is between -2 and 17.

Answer 1

The number, x = { -5 < x < 14}

This means x is any integer between -5 and 14

Explanation:

From the statement, let the number be x

3 + x = y; y = { -2 < y < 17}

This means that y is any integer between -2 and 17

Therefore, x = y - 3

Subtract 3 from the limits of y

i.e. -2 - 3 = -5 and 17 - 3 = 14

Hence, x = { -5 < x < 14}