Which region does the constraint x - y ≥ 2 describe?

Question 26

MediumOriginal question

Which region does the constraint $x - y \ge 2$ describe?

The line

x - y = 2

and the side of it containing the originCorrect answerYour answerOnly the points on the line

x - y = 2

Correct answerYour answerThe line

x - y = 2

and the side of it away from the originCorrect answerYour answerThe side away from the origin, without the lineCorrect answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer C

Correct answer: C

Test the origin: $0 - 0 \ge 2$ is false, so the origin is not in the region.
The region is the half-plane on the far side of the line, and ' $\ge$ ' includes the line itself.

Worth noting

A strict ' $>$ ' would leave the line out; ' $\ge$ ' keeps it.

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