Question

Which number is the solution of the inequality?
12 < y (8 - y)

0
1
2
3

Answer 1

3 so that is the answer

Answer 2

The solution of the inequality $12$ < $y(8-y)$ is 2 < y < 6.

interval notation: $(2, 6)$

Given:

           $12$ < $y(8-y)$

Rewrite in standard form

$8y-y^{2} -12$ > $0$

Multiply both side by -1 (reverse the enequality)

$y^{2}-8y+12$ < $0$

$y^{2} - 6y-2y+12$ < $0$

$y(y-6)-2(y-6)$ < $0$

$(y-6)(y-2)$ < 0

Identify the interval

$2$ < $y$ < $6$

Therefore, interval notation: (2, 6)

Fore more information

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