Question

\left| 5x-2 \right|>8

Answer 1

what does that mean?

Answer 2

use the equation button to help you write it

Answer 3

\[\left| 5x-2 \right|>8\]

Answer 4

2 or - 1.2

Answer 5

to work it out it would be

|5x - 2| > 8 or |5x - 2| > -8

the first one would be

|5x - 2| > 8

5x > 8 + 2

5x > 10

5x / 5 > 10 / 5

x > 2

the second one would be

|5x - 2| > -8

5x > -8 + 2

5x > -6

5x / 5 > -6 / 5

x > -1.2

Answer 6

assume a is positive
|x|>a
=> x>a or x<-a
the solution is
(-inf,-a) U (a,inf)
----------------------
For example:
|x|>3
=> x>3 or x<-3
the solution is
(-inf,-3) U (3,inf)
-----------------------

so |5x-2|>8
5x-2>8 or 5x-2<-8
x>2 x<-6/5

~~~~~~~() ()~~~~~~~
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-6/5 2