Please help?
2016-12-01 4:12 pm
Solve the Absolute Value Inequality. Write your answer in interval notation. Please show all work/steps. |2x + 5| > 17
回答 (4)
2016-12-01 8:54 pm
2x + 5 > 17___or_____2x + 5 < - 17
2x > 12______or_____2x < - 22
x > 6________or_____x < - 11
sol set is { x : x < - 11 or x > 6 }
2x > 12______or_____2x < - 22
x > 6________or_____x < - 11
sol set is { x : x < - 11 or x > 6 }
2016-12-01 4:17 pm
assume the absolute part can be positive or negative
(2x+5) > 17
2x >12
x>6
-(2x+5)>17
-2x - 5 > 17
-2x > 22
-22 > 2x
x < -11
x<-11
x>6
(2x+5) > 17
2x >12
x>6
-(2x+5)>17
-2x - 5 > 17
-2x > 22
-22 > 2x
x < -11
x<-11
x>6
2016-12-01 4:17 pm
Simplify to:
I2x+ 5I > 17
-5 -5
I2xI > 12
divide by 2 divide by 2
IxI > 6
I2x+ 5I > 17
-5 -5
I2xI > 12
divide by 2 divide by 2
IxI > 6
2016-12-01 4:14 pm
|2x+5| > 17
2x+5 > 17
x > 6
2x+5 < -17
x < -11
x ∈ (-∞,-11)U(6,∞)
2x+5 > 17
x > 6
2x+5 < -17
x < -11
x ∈ (-∞,-11)U(6,∞)
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