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Mathematics 18 Online
OpenStudy (anonymous):

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

OpenStudy (anonymous):

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

OpenStudy (anonymous):

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

OpenStudy (ranga):

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.

OpenStudy (anonymous):

so 2 > -2

OpenStudy (anonymous):

or do you flip the sign ?

OpenStudy (anonymous):

try x>2 but thats 1st one

OpenStudy (anonymous):

ranga you got it

OpenStudy (ranga):

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

OpenStudy (anonymous):

would it be x > 2 & x > -2

OpenStudy (ranga):

-(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

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