SOLUTION: I need help please. The question says solve and check the inequality, if possible. |8m+4|<12..I have the following. Is is correct that I need to find two solutions. 8m+4>-12

Algebra ->  Inequalities -> SOLUTION: I need help please. The question says solve and check the inequality, if possible. |8m+4|<12..I have the following. Is is correct that I need to find two solutions. 8m+4>-12       Log On


   



Question 1108315: I need help please. The question says solve and check the inequality, if possible. |8m+4|<12..I have the following. Is is correct that I need to find two solutions.
8m+4>-12 8m+4<12
8m+4-4>-12-4 8m+4-4<12-4
8m/8>-16/8 8m<8
m>-2 8m/8<8/8
m<1
check:
8m+4>-12 check:
8(2)+4>-12 8m+4<12
16+4>-12 8(1)+4<12
20>-12 12<12
correct not correct
Am I even close to doing this correctly? Thank you

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
8m + 4 > -12                 8m + 4 < 12
8m + 4 - 4 >-12-4            8m + 4 - 4 < 12-4
8m/8 > -16/8                 8m < 8
m > -2                       8m/8 < 8/8
                             m < 1


Your solution was CORRECT in both cases.

Your check was correct       Your check was WRONG 
in this case.                in this case

                             Here you should substitute the value < 1 ("less than 1").
                             You substituted 1 ("one") instead, which is wrong.