Which ordered pair is a solution to the inequality?

Choice A is the answer which is the point (1,-1)

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How I got this

Plug each point into the inequality. If you get a true statement after simplifying, then that point is in the solution set and therefore a solution. Otherwise, it's not a solution.

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checking choice A

plug in (x,y) = (1,-1)

This is true because -3 is equal to itself. So this is the answer.

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checking choice B

plug in (x,y) = (2,4)

This is false because 0 is not to the left of -3, nor is 0 equal to -3. We can cross this off the list.

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checking choice C

plug in (x,y) = (-2,3)

This is false because 7 is not to the left of -3, nor is 7 equal to -3. We can cross this off the list.

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checking choice D

plug in (x,y) = (3,4)

This is false because -2 is not to the left of -3, nor is -2 equal to -3. We can cross this off the list.

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

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