Answered

Westonci.ca is the ultimate Q&A platform, offering detailed and reliable answers from a knowledgeable community. Find reliable answers to your questions from a wide community of knowledgeable experts on our user-friendly Q&A platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly 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

Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.