Solve (|−1 + 4| + |−5 + 1|) + |15 − 1|
You asked:
Evaluate the expression: \(\left\lvert -1 + 4\right\rvert + \left\lvert -5 + 1\right\rvert + \left\lvert 15 - 1\right\rvert\)
MathBot Answer:
\[\left\lvert -1 + 4\right\rvert + \left\lvert -5 + 1\right\rvert + \left\lvert 15 - 1\right\rvert = 21\]
\[\begin{aligned}\left\lvert -1 + 4\right\rvert + \left\lvert -5 + 1\right\rvert + \left\lvert 15 - 1\right\rvert& = \left|{-1 + 4}\right| + \left|{-5 + 1}\right| + \left|{15 - 1}\right|\\& = \left|{3}\right| + \left|{-5 + 1}\right| + \left|{15 - 1}\right|\\& = 3 + \left|{-5 + 1}\right| + \left|{15 - 1}\right|\\& = 3 + \left|{-4}\right| + \left|{15 - 1}\right|\\& = 3 + 4 + \left|{15 - 1}\right|\\& = 3 + 4 + \left|{14}\right|\\& = 3 + 4 + 14\\& = 7 + 14\\& = 21\end{aligned}\]