91影视

The absolute value or modulus of a real number xdenoted |x| is the non-negative value of x without regard to its sign.

Absolute value refers to a point's distance from zero or origin on the number line, regardless of the direction.

We are given the expressions:$|b+9|=2$

Since an absolute function value can never be negative we have two scenarios that are possible.

Case: 1 when expression inside the modulus sign is negative, that is

localid="1644592752185" $\begin{array}{l}鈭�(b+9)=2\text{鈥刐顿颈蝉迟谤颈产耻迟别闭}\\ 鈭�b鈭�9=2\\ 鈭�b鈭�9+9=2+9\text{[Add9tobothsides]}\\ 鈭�b=11\\ 鈭�b脳\left(鈭�1\right)=11脳\left(鈭�1\right)\text{[multiplyby-1bothsides]}\\ b=鈭�11\end{array}$

We are given the expressions: $|b+9|=2$

Case: 2 when expression inside the modulus sign is positive, that is

role="math" localid="1642664366989" $\begin{array}{l}b+9=2\\ b+9鈭�9=2鈭�9\text{[Add-9tobothsides]}\\ b=鈭�7\end{array}$

Hence, the solution set will be $b=鈭�7\text{and}b=鈭�11$.