anonymous
  • anonymous
please help MEDALS WILL BE GIVEN
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
PROBLEM \[-\frac{ 2 }{ 3 }t + 2 -\frac{ 4 }{ 3 } t \le- 4\]
sandra
  • sandra
So first thing to do is combine like terms - in this case the two fractions that are both in terms of "t".
anonymous
  • anonymous
choices \[a : t \ge 1\] \[b : t \le 3\] \[c : t \ge 3\] \[d : t \le 1\]

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sandra
  • sandra
-2t/3 -4t/3 +2 <= -4 -6t/3 + 2 <=4
sandra
  • sandra
Now notice that (-6/3)t can be reduced. It's just -2t. So -2t + 2 <= -4 -2t <= -4 - 2 -2t <= -6
sandra
  • sandra
Do you know the last step?
anonymous
  • anonymous
kinda hold on i will see if i get a correct answer
anonymous
  • anonymous
ok so |dw:1357807306782:dw|
anonymous
  • anonymous
my answer is \[t \ge -3\]
sandra
  • sandra
Ok close - you remembered to change the direction of the <=. But! -6/-2 = 3. So t >= 3.
anonymous
  • anonymous
oh i thought that it was negative thanks you are a great explainer
sandra
  • sandra
When you divide both sides of an inequality by a negative number, you do change the direction of the inequality.
sandra
  • sandra
No problem, good work and good luck!
anonymous
  • anonymous
thanks

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