how do you solve this question? When x1, what expression has a value less then x?

Question

how do you solve this question? When x>1, what expression has a value less then x?

anonymous · Answer

?

anonymous · Answer

do you have some choices?  i mean 
$$x-1$$ for example is always less than x

anonymous · Answer

and if 
$$x>1$$ then 0 is less than x. as is 1.

anonymous · Answer

a. 2.5xsquared
b. xcubed+4
c.squareroot of x-2
d.squareroot of x+x

anonymous · Answer

how would you solve this?

anonymous · Answer

1/x

anonymous · Answer

well what i would do is just check numbers greater than 1 and see what works

anonymous · Answer

says x must be greater than 1, so lets check the first one with some number bigger than 1

anonymous · Answer

$$2.5x^2$$ if x is 10 gives 
$$2.5\times 100=250$$ which is bigger than 10 so no

anonymous · Answer

$$x^3+4$$ is not worth checking because in your head you see if you plug in say 10 you get a much bigger number back

anonymous · Answer

$$\sqrt{x-2}$$ will work although x has to be bigger than 2, not 1. say x = 11 then 
$$\sqrt{11-2}=\sqrt{9}=3$$ which is less than 11 so pick that one