contestada

5. Find a counterexample to show that the following con-
jecture is false.
Conjecture: For all numbers x, x4 > x.

Help please

Respuesta :

Answer:  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 = [tex]\dfrac{1}{2}[/tex]

Then x⁴ = [tex]\bigg(\dfrac{1}{2}\bigg)^4[/tex]

             = [tex]\dfrac{1}{16}[/tex]

[tex]\dfrac{1}{16}[/tex] < [tex]\dfrac{1}{2}[/tex]

so the conjecture is false.

ACCESS MORE
EDU ACCESS
Universidad de Mexico