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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.
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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myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0solve the inequality first and determine which numbers are in that solution set in the set A

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0or 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

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0for example lets look at x=18: 2(18)/3+3<2(18)7 12+3<367 15<43 this statement is false therefore 18 is not in the solution set

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0x=6: 2(6)/3+3<2(6)7 4+3<127 7<19 is also false so 6 is not in the soluton set x=3 2(3)/3+3<2(3)7 2+3<67 1<1 false so 3 is not a solution x=12 2(12)/3+3<2(12)7 8+3<247 5<17 is true so x=12 is in the solution set

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0the other way solve for x in the above expression we have 2x/3+3<2x7 get your x together and everything w/o an x on opposing side 2x/3+2x<73 2x/3+6x/3<10 8x/3<10 x<10(3/8) x<30/8 x<15/4

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0which of the numbers above are less than 15/4?

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0in set A, which elements are less than 15/4?
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