If x is less than 2 then which of following statements are always true?
(a) x is negative
(b) x is positive
(c) x2 is greater than or equal to 2
(d) x2 is lesser than or equal to 2

- anonymous

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- schrodinger

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- vanessaperezxo

What do you think is the answer?

- anonymous

not at all idea

- vanessaperezxo

Well, give me your best guess! We can work from there!

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## More answers

- welshfella

consider each one in turn
(a) - is x necessarily negative?

- anonymous

d?

- welshfella

1 is less than 2

- vanessaperezxo

ok, x can be anything less than 2... so it can be 1, 0, -1, -2, -3 etc.

- anonymous

@welshfella ,bt we cant say x will be negative as x can be =1 as well

- vanessaperezxo

So out of all the answers I would have to agree that D is the answer unless there is more to the question

- vanessaperezxo

Because x could be a negative and it could be a positive so that rules out a and b.

- welshfella

yes definitely not a or b

- anonymous

yup @vanessaperezxo

- vanessaperezxo

The question is telling you that x is less that 2 (x<2) so there is no possible way that the answer is c... because x can NOT be greater than 2

- welshfella

now as for c
x can be 1 and 1^2 = 1

- vanessaperezxo

So, that leaves you with D

- welshfella

but if x = 1.9 x^2 = 3.61

- anonymous

:( ....den what is the ans

- welshfella

none are always true

- vanessaperezxo

@welshfella but remember the question is telling you that x is less than 2.. so.. c is saying that x is greater than 2

- vanessaperezxo

tbh d only makes sense because it says anything less than 2... but it also says less than or equal to and the problem doesn't tell you it's equal to it

- vanessaperezxo

If I could pick 2 I would go with a and b because it could be positive or negative.

- welshfella

no neither of them are always true - that's the key word ALWAYS

- welshfella

are you sure you have the questsion correct @yashiii

- anonymous

yup question is correct @welshfella

- vanessaperezxo

And the answers are correct too?

- anonymous

yup dr

- vanessaperezxo

ohhh wait! I got it!

- welshfella

if we take the answers as they are written then none of them are always true.

- vanessaperezxo

in this answer you can pick more than one! So the answer is A and B.... Because it is asking which one is ALWAYS TRUE.. A and B are always true... always

- vanessaperezxo

Because x can be a positive so thats true.. but x can also be a negative, which is also true!

- vanessaperezxo

@yashiii

- anonymous

okay dr

- vanessaperezxo

@yashiii do you get it?

- anonymous

yup..i got it :) ..thnkew so mch

- vanessaperezxo

No problem! Don't forget to fan and medal! :)

- anonymous

hehheh..check it out .i have already done it :)

- welshfella

I guess i'm being ignored....

- vanessaperezxo

Thank you! @yashiii

- vanessaperezxo

@welshfella no your not, We payed attention

- anonymous

not at all... @welshfella ..y u r thinking so ..

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