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Sagot :
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
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
|2x-3|>6
2x-3>6 and 2x-3<-6
for 2x-3>6
add 3
2x>9
divide by 2
x>9/2
for 2x-3<-6
add 3
2x<-3
divide by 2
x<-3/2
those are your two answers
2x-3>6 and 2x-3<-6
for 2x-3>6
add 3
2x>9
divide by 2
x>9/2
for 2x-3<-6
add 3
2x<-3
divide by 2
x<-3/2
those are your two answers
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