Write each of the following expressions without using absolute value. |7m–56|, if m<8

Question

asked Jan 23, 2021 229k views

1 Answer

Boindiil · Answer 1 · 2021-01-28T14:11:34+0000

Answer:

$|7\cdot m -56| = -7\cdot m + 56$ if
m< 8

Explanation:

According to the definition of absolute value:

f(x) if
$f(x) \geq 0$

-f(x) if
f(x) <0

If
m < 8 , then:

$y_(max) = 7\cdot (8) - 56$

y_(max) = 0

becomes negative as
diverges to
$-\infty$ .

Then, the absolute value can be rewritten as follows:

$|7\cdot m - 56| = -(7\cdot m -56)$ if
m <8

$|7\cdot m -56| = -7\cdot m + 56$ if
m< 8