anonymous
  • anonymous
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.
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
myininaya
  • myininaya
solve the inequality first and determine which numbers are in that solution set in the set A
myininaya
  • myininaya
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
anonymous
  • anonymous
alrightt

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

myininaya
  • myininaya
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
anonymous
  • anonymous
ooooooooo ok
myininaya
  • myininaya
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
myininaya
  • myininaya
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
myininaya
  • myininaya
which of the numbers above are less than -15/4?
myininaya
  • myininaya
in set A, which elements are less than -15/4?

Looking for something else?

Not the answer you are looking for? Search for more explanations.