Question

PLEASE HELP ME AND WILL GIVE MEDAL!
Samsonite16
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 1

plss hlp

Answer 2

1st question , is it
\[x^{2} > \]

Answer 3

\[x^{2} > x\]

Answer 4

or is it just 2x >x

Answer 5

the 2nd one

Answer 6

2x>x?

Answer 7

x^2>x

Answer 8

then there are two answers
when you square a negative number, it becomes a positive.
which ones are negative in your answer choices?

Answer 9

-2 and -1

Answer 10

(-1)^2 = 1 ****

Answer 11

(-2)^ 2= 4

Answer 12

so those two become bigger :)

so we can say that x^2 > x for x = -2,-1

Answer 13

moving on to question 4?

Answer 14

wait but it has to be one, either -1 or -2 because I dont have -2,-1 as an answer a option

Answer 15

an answer option***

Answer 16

Oh! I thought they're asking for what's true :)
but in this case, there's another way to get one answer
x^2 >x
divide x to both sides
x>1

Answer 17

there's only 1 answer that sastisy that condition, which is x=3

Answer 18

Thank you!

Answer 19

question 4 now? :)

Answer 20

Yes please

Answer 21

Question 5. one of these will disprove the student's conclusion.
remember (a-b)(a+b) = a^2 -b^2

Answer 22

Wait samsonite, are these 3 problems asking us to DISPROVE their answers?

Answer 23

sorry i was making food. um no i dont think so

Answer 24

Ok, then those are hints to final answers :)

Answer 25

Wait whats the answer?

Answer 26

lol

Answer 27

Question 4. What is equal to or smaller than 1? In your answer choices.
How you do it:
first: x^2 _<x^3
divide x^2 to both sides
1 _< x

Answer 28

what is equal to or LARGER than 1, sorry

Answer 29

what?

Answer 30

Hold on sam, I bet your problem includes this portion
quote {Choose the counterexample that disproves each conjecture.?)

Answer 31

was THIS in the direction of the problems you are doing?

Answer 32

at the beginning when you just start the test , maybe? o.o

Answer 33

Yeah I think so.

Answer 34

oh god no wonder why xD I researched a bit on google and found that these questions are asking for the WRONG answer to the problem :)

Answer 35

so they want the wrong answer to the problem, disproving the problem's equations.
the first question would be x = 1
because squares of 1 =1

question 4 would be x = 1/2 as answer

because x^2 = 1/4
and x^3= 1/8,
1/4> 1/8, so the students claim is wrong

question 5 answer is (x+2)(x-2)
because (a-b)(a+b) = a^2 - b^2 which is a binomial :))

Answer 36

OKay thank you so much!!!! Can I open a new question to give you another medal please for dealing with me. Hahaha xp

Answer 37

it's ok :) thanks though. You can medal me later if you have another question :))

Answer 38

Okay thank you again soooo much! And by any chance do you know where to find example powerpoints on CounterExample? @study100

Answer 39

here :)
this video is good, starting at 8:00 minutes (counterexamples)
https://www.youtube.com/watch?v=Nu-yNYowcKc#t=496

Answer 40

i couldn't find his powerpoint though.

Answer 41

Oh thank you that's great :)