Q:

I WILL AWARD BRAINLIEST!!!! PLEASE HELP!!!!!!Rewrite each of the following expressions without using absolute value.|4r−12| , if r<3|7m–56| , if m<8|z−7|−|z−9| , if z<7?

Accepted Solution

A:
Answer:1  4(3-r)  or  12-4r2.  7( 8-m) or 56-7m3.   -2Step-by-step explanation:1) |4r−12| , if r<3|4r-12|Factor out a 44|r-3| |r-3| will be less than 0 since r is less than 3So we can rewrite it as 3-r to remove the absolute value signs and make it positive4 (3-r)12 -4r2.   |7m–56| , if m<8Factor out a 77| m-8|  |m-8| will be less than 0 since m is less than 8So we can rewrite it as  8-m to remove the absolute value signs and make it positive7( 8-m)56-7m3) |z−7|−|z−9| , if z<7|z-7| will be less than 0 since z is less than 7  and |z-9| will be less than 0 since z is less than 7So we can rewrite it as  7-z  and 9-z to remove the absolute value signs and make it positive7-z - (9-z)Distribute the minus sign7-z-9+z-2