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- anonymous

Which of the following is a solution of y-x< -3?
(6,2)
(2,6)
(2,1)

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- anonymous

Which of the following is a solution of y-x< -3?
(6,2)
(2,6)
(2,1)

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- anonymous

@ajprincess Can you help me?

- anonymous

@phi Can you please help me ?

- phi

one way, is replace the x and y with numbers and do the arithmetic
test (6,2) which means x=6 and y=2
replace x with 6 and y with 2 in your relation:
y-x < -3 ?
2 - 6 < -3
is this true? is 2-6 less than -3 ?

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- anonymous

no

- phi

what is 2-6 ?

- anonymous

wait yes

- anonymous

-4 is less than negative three

- phi

2-6 is -4
-4 is less than -3 (maybe that is confusing ?)

- anonymous

yea a little, I see how to do it now, I thought they wanted me to solve this equation by adding lol thank you

- phi

so the first choice is the answer. we could test the others, and find that they do not work.
example: test (2,6)
x is 2 and y is 6
y-x < -3 ?
6-2 < -3 ?
4 < -3 No way! this is not true

- phi

you could use algebra to rewrite the equation to (for example)
y-x < -3
y < x-3 (add +x to both sides)
this is the same relation, written differently.
*maybe* this is easier to test ?
test (6,2) : x is 6, y is 2
2 < 6-3
2 < 3 yes this is true.
it gives the correct answer, and we did not get negative numbers, so maybe it is less confusing.... but I would just use the original form and practice understanding negative numbers.

- anonymous

cool, Thank you so much, this helped a lot.

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