Question

Solve |2x - 1| > 5 (Use set notation in your answer)

please show me how you did it

Answer 1

Whenever you come across an inequality involving absolutes split the inequality into two parts while removing the absolute operator:

|a| > b
means:
a > b OR -a > b (we have gotten rid of the absolute operator)
Solve the two inequalities separately and combine the solution in the final answer.

Answer 2

ok this is what i got how can i combine them?

2x-1<-5 = x<-2

2x-1>5 = x>3

Answer 3

The solution in interval form is: (-infinity, -2) U (3, infinity)

where U is the Union symbol.

Answer 4

If you have not been taught interval notation or graphing the solution yet you can simply say that the solution is: x < -2 OR x > 3.