Question

4a-2 (less than or equal to) a + 1 (less than or equal to) 3a + 4

I'm assuming I should put this on a line, like I did with some other problems on my worksheet, right? But I have no idea how I would show 4a-2 on a line! I have no idea how to do this.

Thank you so much!

Answer 1

I think I understand how to do this... here's my work.

4a - 2 < a + 1 < 3a + 4

I separated them into two pieces:

4a-2 < a + 1 and a + 1 < 3a + 4

Then, I added two to each side of the first one, and took away 1 from each side of the second one.

4a < a + 3 and a < 3a + 3

I took away took away a from each side of the first one and 3a from each side of the second one.

3a < 3 and -2a + 3

Then, I will put it on a line. Does my work look right?

Answer 2

4a-2<a+1
3a<3 or a<1

a+1<3a+4
-3<2a
-3/2 < a