Question

Samantha conjectures that for x < - 1 it is true that x ^ 5 - 2 > x her conjecture correct? Why or why not?

Answer 1

Answer:

Her conjecture is not correct

Step-by-step explanation:

Given

$x^5 - 2 > x$

For $x < -1$

Required

Determine if the conjecture is true

$x < -1$ implies that the values of x are:

-2, -3, -4, -5.....

Take any value of x and substitute in $x^5 - 2 > x$

Let x = -3

$x^5 - 2 > x$ becomes

$-3^5 - 2 > -3$

$-243 - 2 > -3$

$-245 > -3$

The above inequality is false;

Hence:

Her conjecture is not correct