156k views
4 votes
Please help, Find the solution to the given inequality and pick the correct graphical representation

Please help, Find the solution to the given inequality and pick the correct graphical-example-1

1 Answer

5 votes

Using the answers possible, you could pick x=0 and see if 0 work.

-3 + | 0-2 | > 5

-3 + | -2 | > 5

-3 + 2 > 5

-1 > 5

this is false, so any answer that includes 0 is not correct

this eliminates "-6 < x < 10" and "x > -6 or x < 10" since they both include 0.

that leaves only "x < -6 or x > 10".

And the graph that matches this answer is the very bottom graph with two open circles at -6 and 10 and arrows pointing outward.

Now if you want to solve the inequality, that'd look like this:

-3 + | x - 2 | > 5

| x - 2 | > 8 by adding 3 to both sides

this will split into "x - 2 > 8 or x - 2 < -8"

Solving each of those, you'd have "x > 10 or x < -6" which is the answer we previously determined.

User Grisha Levit
by
8.2k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories