Question

What is the value of the expression |a + b| + |c| when a = –3, b = 7, and c = –15?

A.
19

B.
25

C.
5

D.
–11

Answer 1

We know:

`|a|= \left\{\begin{array}{ccc}a&if\ a \ \textgreater \ 0\\0&if\ a=0\\-a&if\ a \ \textless \ 0\end{array}\right\\\\|2|=2\\|0|=0\\|-3|=3`


`|a+b|+|c|`
substitute a = -3; b = 7; c = -15

`|-3+7|+|-15|=|4|+15=4+15=19`