Solve and graph the absolute value inequality: |2x + 4| 8

Question

Solve and graph the absolute value inequality: |2x + 4| > 8

anonymous · Answer

Ok  tell what you get after u subtract 4 to both sides

anonymous · Answer

2x > 4 
2 > 2 

would that be the answer ?

ranga · Answer

Whenever there is an absolute value involved break the problem into two parts:
2x + 4 > 8
or
-(2x + 4) > 8
and solve each inequality separately.

anonymous · Answer

so 2 > -2

anonymous · Answer

or do you flip the sign ?

anonymous · Answer

try x>2  but thats 1st one

anonymous · Answer

ranga you got it

ranga · Answer

Solving 2x + 4 > 8 you got x > 2 which is correct.

Now solve 
-(2x + 4) > 8

anonymous · Answer

would it be
x > 2
& x > -2

ranga · Answer

-(2x + 4) > 8 -2x - 4 > 8 add 4 to both sides -2x > 12 Divide both sides by -2 And when dividing by a negative number flip the > to < or < to > x < -6 So the solutions are: x < -6 or x > 2