25 POINTS PLEASE HELP ME!! Sam conjectures that for x ≤ - 2, it is true that x^5 + 7 > x^3. Is Sam’s conjecture correct? Why

Question

2 years ago

5

or why not?

1 answer:

CaHeK987 [17] · Answer 1 · 2023-11-24T15:16:18+03:00

The true statement about Sam’s conjecture is that the conjecture is not correct

<h3>How to determine if Sam’s conjecture is correct or not?</h3>

Sam’s conjecture is given as:

For x ≤ - 2

It is true that x^5 + 7 > x^3.

The inequality x ≤ - 2 means that the highest value of x is -2

Assume the value of x is -2, then we have:

(-2)^5 + 7 > (-2)^3

Evaluate the exponents

-32 + 7 > -8

Evaluate the sum

-25 > -8

The above inequality is false because -8 is greater than -25 i.e. -8 > -25 or -25 < -8

Hence, the true statement about Sam’s conjecture is that the conjecture is not correct