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ashlynn143

  • 3 years ago

please help MEDALS WILL BE GIVEN

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  1. ashlynn143
    • 3 years ago
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    PROBLEM \[-\frac{ 2 }{ 3 }t + 2 -\frac{ 4 }{ 3 } t \le- 4\]

  2. sandra
    • 3 years ago
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    So first thing to do is combine like terms - in this case the two fractions that are both in terms of "t".

  3. ashlynn143
    • 3 years ago
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    choices \[a : t \ge 1\] \[b : t \le 3\] \[c : t \ge 3\] \[d : t \le 1\]

  4. sandra
    • 3 years ago
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    -2t/3 -4t/3 +2 <= -4 -6t/3 + 2 <=4

  5. sandra
    • 3 years ago
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    Now notice that (-6/3)t can be reduced. It's just -2t. So -2t + 2 <= -4 -2t <= -4 - 2 -2t <= -6

  6. sandra
    • 3 years ago
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    Do you know the last step?

  7. ashlynn143
    • 3 years ago
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    kinda hold on i will see if i get a correct answer

  8. ashlynn143
    • 3 years ago
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    ok so |dw:1357807306782:dw|

  9. ashlynn143
    • 3 years ago
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    my answer is \[t \ge -3\]

  10. sandra
    • 3 years ago
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    Ok close - you remembered to change the direction of the <=. But! -6/-2 = 3. So t >= 3.

  11. ashlynn143
    • 3 years ago
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    oh i thought that it was negative thanks you are a great explainer

  12. sandra
    • 3 years ago
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    When you divide both sides of an inequality by a negative number, you do change the direction of the inequality.

  13. sandra
    • 3 years ago
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    No problem, good work and good luck!

  14. ashlynn143
    • 3 years ago
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    thanks

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