what number is a solution of the inequality?

Question

x(7-x)>8 a.2 b.8 c.-1 d.0

and could you please show me how to do it?

Answer 1

You have to use the numbers they gave you to fill in x.

Example:
2(7-2)=10
10 is greater than 8 so A. would work.

8(7-8)= -8
-8 is less than 8 so B. would not work.

-1(7- -1)= -8
-8 is less than 8 so C. would not work.

0(7-0)= 0
0 is less than 8 so D. would not work.

A is the correct answer.

Answer 2

Plug each in and see which one works:
2(7-2) = 2(5) = 10 > 8. This one works, so it is the answer, but you can check to make sure no other one works:
8(7-8) = 8(-1) = -8 < 8
-1(7--1) = =1(8) = -8 < 8
0(7-0) = 0 < 8

So the answer is a. 2

Answer 3

a. 2, since 2(7-2) = 10 > 8

Answer 4

x(7-x)>8
If x = 2 we get 2(7-2) >8 --> 2*5> 8 --> 10 > 8 TRUE !!
If x = 8, then 8(7-8) >8 --> 8(-1) >8 --> -8>8 FALSE !!
If x = -1,then -1(7-(-1) >8 --> -8>8 FALSE !!
If x = 0 then 0*(7-0)> 8 --> 0 > 8 FALSE !!
Only x = 2 works

Answer 5

7x-x^2 >8 <--> x^2-7x+8 <0 <--> [7-√17]/2 < x < [7-√17]/2
<--> x is a integer with 1 < x < 6 <--> x=2 a)

Saludos.

Answer 6

only a and b work