Inequalities/Absolute Value, help? please. ?

Question

2|3x + 4| - 5 > -6

I'm stuck on this math problem. Probably really simple.. but I'm c**p at math.

how do I solve it? I think the answer is no solution? -.-

Answer 1

MOD means u cant take + or -

2|3x + 4| - 5 > -6

2(3x+4)-5>-6     or  2(-(3x+4))-5>-6

2(3x+4)>-6+5    or  2(-3x-4)>-6+5

6x+8>-1      or                -6x-8 > -1

6x>-1-8                             6x+8<1    

  

6x>-9                                  so x should be < -7/6

so x should be > -9/6      

Answer 2

2|3x + 4| - 5 > -6

2|3x + 4| > -1

|3x + 4| > -1/2

x can be any real number and the inequality still holds true.

Answer 3

2|3x + 4| - 5 > - 6

2|3x + 4| > 5 - 6

2|3x + 4| > - 1

|3x + 4| > - 1/2

Answer: |3x + 4| > - 1/2