4 - 3|m + 2| > -14 there are two cases here. Case I: |m + 2| = m + 2 4 - 3(m+2) > -14 4 - 3m - 6 > -14 -3m - 2 > -14 -3m > -12 m -14 4 + 3m + 6 > -14 3m + 10 > -14 3m > -24 m > -8 therefore, all real numbers between -8 and 4, or: -8 < m < 4 hope this helps~ :)

4-3|m+2|>-14

1 answer

4 - 3|m + 2| > -14

there are two cases here.
Case I: |m + 2| = m + 2
4 - 3(m+2) > -14
4 - 3m - 6 > -14
-3m - 2 > -14
-3m > -12
m < 4

Case II: |m + 2| = -(m + 2)
4 - (-3(m+2)) > -14
4 + 3m + 6 > -14
3m + 10 > -14
3m > -24
m > -8
therefore, all real numbers between -8 and 4, or:
-8 < m < 4

hope this helps~ :)