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Tombrokaw

  • 2 years ago

How do I solve this problem -7(the lesser than or equal to sign) 2x+3(<) 5

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  1. gangescom
    • 2 years ago
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    you are going to need to set up two equations

  2. gangescom
    • 2 years ago
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    one -7(less than or equal sign) 2X+3 two 2X+3(<)5 you will get two answers it would look like this for example 6<x>9

  3. Tombrokaw
    • 2 years ago
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    Alright Thank you, I will tell you what I came up with so far

  4. gangescom
    • 2 years ago
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    k

  5. Tombrokaw
    • 2 years ago
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    for my solutions I have(-5,infinity symbol] and (5/2,infinity symbol)

  6. gangescom
    • 2 years ago
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    Infinity?

  7. gangescom
    • 2 years ago
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    ok lets work Equation one -7(Less than or equal) 2X+3

  8. gangescom
    • 2 years ago
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    subtract 3 from both sides

  9. Tombrokaw
    • 2 years ago
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    I end up with 2 is less than or equla to x

  10. gangescom
    • 2 years ago
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    you should get -10 since you subtracted -3 and you have a -7 on the other side you get -10

  11. Tombrokaw
    • 2 years ago
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    alright

  12. gangescom
    • 2 years ago
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    -7 (less than equal) 2X+3 -3 -3 =-10 (less than equal) 2x

  13. Tombrokaw
    • 2 years ago
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    then divide by 2 and we get -5

  14. gangescom
    • 2 years ago
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    yup good job!

  15. gangescom
    • 2 years ago
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    do the same for the other equation

  16. Tombrokaw
    • 2 years ago
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    but I am supposed to express each in interval notation

  17. Tombrokaw
    • 2 years ago
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    and for the other equation x<5/2

  18. gangescom
    • 2 years ago
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    you should get 1 for the other equation

  19. gangescom
    • 2 years ago
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    2X+3<5 -3<-3 2X<2 divide by 2 on both side 2 2 X=1

  20. gangescom
    • 2 years ago
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    |dw:1347312457904:dw|

  21. gangescom
    • 2 years ago
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    your interval notation sould look something like this its a bad drawing, and than draw the arrows (left or right)

  22. Tombrokaw
    • 2 years ago
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    The solution would then look x<1 for the other one

  23. phi
    • 2 years ago
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    if you started with -7 ≤ 2x+3 < 5 you should get, after simplifying, -5 ≤ x < 1 in interval notation, this is [-5,1) the square brackets indicates -5 is part of the interval. ) means the upper value is a limit, approached but not reached.

  24. Tombrokaw
    • 2 years ago
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    Alright, thank you

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