Algebra

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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!

  • Read my question, and then look at this message for my results! -

    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?

  • Algebra -

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

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

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