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Mathematics 15 Online
OpenStudy (anonymous):

Which of the following ordered pairs is included in the solution set of the system? y < 3/4 x + 3 and y > 3/4 x - 1

OpenStudy (shadowfiend):

I assume you have a list of ordered pairs..?

OpenStudy (anonymous):

Lol. Sorry I forgot to post them.. Hold on real quick and I will.

OpenStudy (anonymous):

(0, 8) (3, 4) (9, 1) No Solution

OpenStudy (owlfred):

Wow. THE shadowfiend in action! You're in good hands KaupKel!

OpenStudy (anonymous):

Can somebody help me, please? :)

OpenStudy (shadowfiend):

Ok, so these are all (x, y) pairs. What you need to do is plug them in to the two equations and check where they match. For example, the first ordered pair is (0, 8). That means: x = 0 y = 8 With your equations: y < 3/4 x + 3 8 < 3/4 (0) + 3 8 < 0 + 3 8 < 3 and y > 3/4 x - 1 8 > 3/4 (0) - 1 8 > 0 - 1 8 > -1 Only one of those is true (8 is not less than 3, though 8 is greater than -1), so this ordered pair is not a solution to the system. You can do this with the other two ordered pairs to figure out whether those are solutions to the system.

OpenStudy (anonymous):

Wow. Thank you for all your help!! :)

OpenStudy (shadowfiend):

No problem! I'll stick around in case you have trouble doing the rest of it :)

OpenStudy (anonymous):

Thank you! You are so sweet! :)

OpenStudy (anonymous):

Thats wrong.

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