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

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@ajprincess Can you help me?
@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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Other answers:

  • phi
what is 2-6 ?
wait yes
-4 is less than negative three
  • phi
2-6 is -4 -4 is less than -3 (maybe that is confusing ?)
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.
cool, Thank you so much, this helped a lot.

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