Question

WILL AWARD FAN AND MEDAL IF ANSWERED IMMEDIATELY!!!!!!!!!!!

Solve the Inequality.
12 10 years ago

Answer 1

12 < y (8-y)

Simplify:
12 < 8y - y^2
0 < -y^2 + 8y - 12
0 < y^2 - 8y + 12
0 < (y - 6) (y - 2)

Answer 2

So, the answer is..?

Answer 3

So (y - 6) and (y - 2) both have to be greater than 0
y > 6, y > 2

Answer 4

Okay. So if they're both grater than 0 that leaves out answer choice A.

Answer 5

ANSWER CHOICES;
A. 0
B.1
C.2
D. 3

Answer 6

Ah okay if it's multiple choice it's much easier. Simply substitute each possible solution into the inequality:

12<y(8-y)
12<0(8-0)
12<0(8)
12<0 - obviously not true

12<y(8-y)
12<1(8-1)
12<1(7)
12<7 - obviously not true

12<y(8-y)
12<2(8-2)
12<2(6)
12<12 - obviously not true

12<y(8-y)
12<3(8-3)
12<3(5)
12<15 - true

Answer 7

(Also, as I said, y must be greater than 6 and 2, and as only D is greater than 2, it must be D)

Answer 8

Thank you so much!!

Answer 9

No problem :)