Which number is a solution of the inequality?

х (7 - x) >8

2

8

о

-1

Question

Mathematics

Rosa

27 June, 16:17

Which number is a solution of the inequality?

х (7 - x) >8

2

8

о

-1

+4

Answers (1)

Know the Answer?

Karlee Parrish · Answer 1

Step-by-step explanation:

7x-x^2>8

or x²-7x<-8

adding both sides (-7/2) ² or 35/4

for x²-7x+35/4<-8+35/4

(x-7/2) ²< (-32+35) / 4

or (x-7/2) ²<3/4

|x-7/2|< (√3) / 2

- (√3) / 2
7/2 - (√3) / 2
(7-√3) / 2
(7-1.732) / 2
2.634
so x=2 is a solution.

Which number is a solution of the inequality?х (7 - x) >828о-1

Which number is a solution of the inequality?

х (7 - x) >8

2

8

о

-1