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 }

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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

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2016-12-01 4:17 pm

Simplify to:
I2x+ 5I > 17
-5 -5
I2xI > 12
divide by 2 divide by 2
IxI > 6

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2016-12-01 4:14 pm

|2x+5| > 17

2x+5 > 17
x > 6

2x+5 < -17
x < -11

x ∈ (-∞,-11)U(6,∞)

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