Question

Solve |2x -5| > 7.

Answer 1

Remember that if |x| > a => x> a or x<-a

Answer 2

x<-1

Answer 3

Use this to solve your question.

Answer 4

okay thank you for your help im new here and I was having difficulty so thank for the help to both of you

Answer 5

No problem

Answer 6

x <-1
x >6

Answer 7

Remember that for absolute value problems, there are two cases that need to be set up. In this case the two cases are\[ 2x -5 > 7 ~~~~ or~~~~2x -5 < -7\]Solve these two problems to get the answers to your problem. Note that for an inequality, the solution will be an interval, or in this case, two intervals.

Answer 8

The two parts above give the answers noted by jinxhead20 above. In interval notation, they would be represented \[x \in (- \infty,-1) \cup (6, \infty )\]