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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 ?
what is 2-6 ?
-4 is less than negative three
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
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
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.