91Ó°ÊÓ

Integers include the positive and negative whole numbers including zero. An integer cannot be a decimal or fractional part with it.

The set of integers is denoted by the numbers $\mathrm{...},−4,\text{ }−3,\text{ }−2,\text{ }−1,\text{ }0,\text{ }1,\text{ }2,\text{ }3,\text{ }4,\text{ }\mathrm{...}$

for every value x is greater than - x because with negative sign all the values are smaller than 0 according to number line so, negative values are shown in the left side of 0 in the number line and positive values are shown in the right side of 0 in the number lines.

To find the difference$−32−(−15)$, add the opposite of the second number with the first number.

To subtract –15, add its opposite 15 with the first number and solve further to get

$\begin{array}{c}−32−(−15)=−32+15\\ =−17\end{array}$

Thus, the value of the expression is -17.

Hence option (b) is correct.