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Effectus [21]
3 years ago
7

Which of the following is a solution for the absolute value inequality |2x – 3| > 6?

Mathematics
2 answers:
Andru [333]3 years ago
7 0
|2x-3|>6
2x-3>6    and   2x-3<-6
for 2x-3>6
add 3
2x>9
divide by 2
<u>x>9/2</u>
for 2x-3<-6
add 3
2x<-3
divide by 2
<u>x<-3/2</u>
those are your two answers
Mice21 [21]3 years ago
3 0
This breaks into two inequalities:

2x - 3 > 6

and

-2x + 3 > 6

------------------------

2x - 3 > 6

Add 3 to both sides:

2x > 9

Divide 2 to both sides:

x > 4.5

-----------------------

-2x + 3 > 6

Subtract 3 to both sides:

-2x > 3

Divide -2 to both sides:

x < -1.5
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