Wanda Kane
2021-12-09
scoollato7o
Beginner2021-12-10Added 26 answers
Step 1
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 .
Step 2
To solve the inequality -6<5x-2 <6, first, add 2 to every part of the inequality; next, divide it by 5 to simplify.
-6<5x-2<6
-6+2<5x-2+2<6+2
-4<5x<8
Consequently, the answer in interval notation is .
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