Question

5. Find a counterexample to show that the following con-

jecture is false.
Conjecture: For all numbers x, x4 > x.

Help please

Answer 1

Answer: see below

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 =
`(1)/(2)`

Then x⁴ =
`\bigg((1)/(2)\bigg)^4`

=
`(1)/(16)`

`(1)/(16)` <
`(1)/(2)`

so the conjecture is false.