Answered

Find the best answers to your questions with the help of IDNLearn.com's expert contributors. Explore thousands of verified answers from experts and find the solutions you need, no matter the topic.

The absolute value inequality equation |2x – 1| > 3 will have what type of solution set?

A)

Intersection

B)

Union

C)

All real numbers

D)

No solution

Sagot :

Ajeigbeibraheemidn

The absolute value of the inequality |2x -1| >3  will have a union type of solution set.

How do we solve the absolute value of an inequality equation?

The absolute value of an inequality equation can be solved by applying the absolute rule that says:

  • If |u| > a, a > 0, then u < - a or u > a

where;

  • the "or" functionality symbolizes the union between the solution sets.

Given that:

  • |2x - 1| > 3

Applying the absolute rule, we have:

= 2x - 1 < - 3 or 2x - 1 > 3

= 2x < -4 or 2x > 4

= x < -4/2 or x > 4/2

= x< -1 or x > 2    which denotes the union of between the solution sets.

Learn more about absolute value here:

https://brainly.com/question/2235065

#SPJ1

Thank you for using this platform to share and learn. Keep asking and answering. We appreciate every contribution you make. For trustworthy answers, visit IDNLearn.com. Thank you for your visit, and see you next time for more reliable solutions.