Inequality

Algebra Level 1

We know that 1 is always less than 2, but is it always true that $x<2x$ ?

False Indeterminate True

2 solutions

Alex Wang
Jul 13, 2016

This is true when x>0 ; for when x = 8, 8<16. But ,when x<0 ; like for x = -2, -2>-4. When x=0, 0=0. So the answer is False.

Great question! That is a common misconception made when one first sees inequalities.

Aaron jabriel Ramos
Mar 26, 2021

let's try substituting $x=-1$ to $x>2x$ then it would be $-1<2*-1$ which is $-1<-2$ and it would be $False$ so it's true for all $x>0$