How do you solve #|1/2t - 3| = 1#?
1 Answer
May 13, 2018
Explanation:
#"the expression inside the absolute value bars can be "#
#"positive or negative hence there are 2 possible solutions"#
#color(magenta)"positive expression"#
#1/2t-3=1#
#"add 3 to both sides and multiply by 2"#
#rArr1/2t=1+3=4#
#rArrt=2xx4=8#
#color(magenta)"negative expression"#
#-1/2t+3=1#
#"subtract 3 from both sides and multiply by "-2#
#rArr-1/2t=1-3=-2#
#rArrt=-2xx-2=4#
#color(blue)"As a check"# Substitute these values into the left side of the equation and if equal to the right side then they are the solutions.
#t=4rArr|2-3|=|-1|=1#
#t=8rArr|4-3|=|1|=1#
#rArrt=4" or "t=8" are the solutions"#