Answered

Get the answers you need at Westonci.ca, where our expert community is dedicated to providing you with accurate information. Get accurate and detailed answers to your questions from a dedicated community of experts on our Q&A platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

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 :

ajeigbeibraheem

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

We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.