5. find a counterexample to show that the following con-
jecture is false.
conjecture: for all numbers x, x4 > x.

 see below

Step-by-step explanation:

Any value x such that |x| < 1 will make the conjecture false

In simpler words, let x be a fraction between 0 and 1.

One example: Let x =

Then x⁴ =

             =

<

so the conjecture is false.

there are infinitely many solutions.