To solve |5x-2|<6 , first remove the absolute value. The inequality of the form |x|<a can also be written as -a<x<a . Similarly the inequality |5x−2|<6 can be written as -6<5x-2<6 .
To solve the inequality -6<5x-2 <6, first add 2 on all parts of the inequality and then divide the whole inequality by 5 and simplify.
Hence , the solution in interval notation is .