Question

PLEASE HELP AND I WILL GIVE MEDAL! :P
For questions 1-5, choose the counterexample that disproves each conjecture.

For all real numbers n, 1 ÷ n > 0.
n = 1
n = 3
n = 0.5
n = -0.5


Question 2. 2. If n is a prime number, then n2 has a 1, 5, or 9 in the ones place.
n = 3
n = 17
n = 31
n = 2

Answer 1

@aum

Answer 2

If you could help that would be great :)

Answer 3

Question 1: Choose n = -0.5. Then, 1 ÷ n = 1 ÷ (-0.5) = -2 which is < 0 disproving the conjecture.

Answer 4

Question 2: Choose n = 2. Then, n^2 = 4 disproving the conjecture that if n is a prime number, then n^2 has a 1, 5, or 9 in the ones place.

Answer 5

Thanks!

Answer 6

yw.

Answer 7

Do you think you could help me with a few more? PLease

Answer 8

A student concludes that if x is a real number, then x2 > x.
x = -2
x = 3
x = 1
x = -1


Question 4. 4. A student concludes that if x is a real number, then x2 _< x3.
Option A: ½
Option B: 0
Option C: 1
Option D:3/2


Question 5. 5. After completing several multiplication problems, a student concludes that the product of two binomials is always a trinomial.
(x + 1)(x + 3)
(x + 2)(x - 2)
(x + 4)(y -3)
(x + 5)(x - 6)

Answer 9

@aum