SOLUTION: How do you solve this inequality and show the answer on the number line? 1. -2<3x+1<11 2. -3< (2x- 1)/3<7 I am getting somewhat confused with my formula. Help , I am desper

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Question 178539: How do you solve this inequality and show the answer on the number line?
1. -2<3x+1<11
2. -3< (2x- 1)/3<7
I am getting somewhat confused with my formula. Help , I am desperate. Thank you.
Answer by solver91311(24713) (Show Source):
You can put this solution on YOUR website!

1.

Add -1 to each part of the inequality:

Multiply by

Now, on your number line, draw an open circle on the -1, and another open circle at . Use open circles because your inequalities do not include equals. That is they are signs rather than signs. Then make a heavy line connecting the two open circles.

You can then represent this interval using interval notation: or using set builder notation:

Use this same process to solve your other problem.