Question

Please help me ASAP

Answer 1

Answer: Choice C. (0,0)

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Step-by-step explanation:

This is the only point in the shaded region. The other points are either on the boundary line or outside the shaded region. Points on the boundary do not count because of the dashed line. The dashed line is due to no presence of an "or equal to" as part of the inequality sign.

See the diagram below.

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A nonvisual approach will have you plug each of the coordinates into the given inequality.

For instance, choice A has x = 0 and y = 2 pair up which plug in to get

y < (-2/3)x + 2

2 < (-2/3)*0 + 2

2 < 2

which is false, so that's why choice A is not the answer. You should find that choices B and D are false too. Only choice C is true because

y < (-2/3)x + 2

0 < (-2/3)*0 + 2

0 < 2

which confirms the answer we got when we used the visual approach.

Answer 2

All you have to do for this is plug in each coordinate point to the function. Ex. (0,2). Plug in 0 to the “x” part of the function, and solve that side; you will get 2. Then you plug in 2 in this case for “y”. You will end up with 2<2 which is a FALSE statement. And you keep doing that until you get a TRUE statement.