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anonymous

  • 5 years ago

Given: A = {18,6,-3,-12} Determine all elements of set A that are in the solution of the inequality: 2/3x + 3 < -2x -7.

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  1. myininaya
    • 5 years ago
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    solve the inequality first and determine which numbers are in that solution set in the set A

  2. myininaya
    • 5 years ago
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    or you can plug each of the elements of A into the inequality and see if the inequality holds if it holds, then that element is a solution of the inequality

  3. anonymous
    • 5 years ago
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    alrightt

  4. myininaya
    • 5 years ago
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    for example lets look at x=18: 2(18)/3+3<-2(18)-7 12+3<-36-7 15<-43 this statement is false therefore 18 is not in the solution set

  5. anonymous
    • 5 years ago
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    ooooooooo ok

  6. myininaya
    • 5 years ago
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    x=6: 2(6)/3+3<-2(6)-7 4+3<-12-7 7<-19 is also false so 6 is not in the soluton set x=-3 2(-3)/3+3<-2(-3)-7 -2+3<6-7 1<-1 false so -3 is not a solution x=-12 2(-12)/3+3<-2(-12)-7 -8+3<24-7 -5<17 is true so x=-12 is in the solution set

  7. myininaya
    • 5 years ago
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    the other way solve for x in the above expression we have 2x/3+3<-2x-7 get your x together and everything w/o an x on opposing side 2x/3+2x<-7-3 2x/3+6x/3<-10 8x/3<-10 x<-10(3/8) x<-30/8 x<-15/4

  8. myininaya
    • 5 years ago
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    which of the numbers above are less than -15/4?

  9. myininaya
    • 5 years ago
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    in set A, which elements are less than -15/4?

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