The best way to solve this problem is by plugging in each answer choice for both equations and seeing which one works. You can already see that choice A doesn't work because -1 is not greater than or equal to 4. That means you just need to test choices B and C!
Choice B (4, -2)
[tex]x + y \geq 6\\
4 + -2 \geq 6\\
2 \geq 6
[/tex]
2 is not greater than or equal to 6, so choice B doesn't work.
Choice C (4, 2)
[tex]x + y \geq 6\\
4 + 2 \geq 6\\
6 \geq 6 \\\\
x \geq 4\\
4 \geq 4[/tex]
Since 6 is equal to 6 and 4 is equal to 4, choice C works!
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Answer: C) (4, 2)
