Question

i have a question

3. Which is a counterexample that disproves the conjecture?

A student concludes that if x is a real number, then x ≥ x3.
(Points : 1)
x = 3
x = 1
x = 0
x = –1

Answer 1

@satellite73 can you help me please

Answer 2

plug in your choices for x , one by one and see which one makes the inequality, x >= x^3 as FALSE.

like if i take x=0

0>=0 is true
so its not the correct answer.

try same thing for other choices

Answer 3

so
3 > or = 3^3
1> or = 1^3
0 > or = 0^3
-1> or = -1^3

Answer 4

which one of them is false ?

Answer 5

3^3 = 27

-1^3 = -1

Answer 6

is 3 greater than or = 27 ?

Answer 7

i dont remember
@hartnn

Answer 8

3 is lesser than 27

so 3 greater than or =27 is FALSE

so x=3 is your counterexample :)

Answer 9

ok