Question

Solve and graph the absolute value inequality: |2x + 1| ≤ 5.

Answer 1

| 2x + 1 | <= 5

-5 <= 2x + 1 <= 5 --- subtract 1
-5 - 1 <= 2x <= 5 - 1
-6 <= 2x <= 4 --- divide by 2
-3 <= x <= 2

so we have x being greater or equal to -3 and less then or equal to 2
closed circle on -3, closed circle on 2, shading in between.

Try to learn this :
if there is an equal sign, there is a closed circle
no equal sign means an open circle
< less then means shading to the left
> greater then means shading to the right
or just shade the way the inequality sign is pointing.

Answer 2

you can read up on this here...
http://www.purplemath.com/modules/absineq.htm

Answer 3

thankyou i have a question can i message you ? @texaschic101

Answer 4

i choose A

Answer 5

look my answer again and find the graph that shows x is greater or equal to -3 and less then or equal to 2. Now what do you think the answer is now...it is not A

Answer 6

ok....I am in a good mood...answer is B

Answer 7

hmmm ok thanks I'm going to try too see where i went wrong I'm a little confused @texaschic101

Answer 8

i understand now the link really worked thank you