Question

Which ordered pair is a solution to the inequality?

Help please!!

Answer 1

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

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How I got this answer:

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)

`y - 2x \le -3`

`-1 - 2(1) \le -3`

`-3 \le -3`

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)

`y - 2x \le -3`

`4 - 2(2) \le -3`

`0 \le -3`

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)

`y - 2x \le -3`

`3 - 2(-2) \le -3`

`7 \le -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)

`y - 2x \le -3`

`4 - 2(3) \le -3`

`-2 \le -3`

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.