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I don't know how to figure this out. A and B look the same and C and D look the same

I don't know how to figure this out. A and B look the same and C and D look the same-example-1
User TKV
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1 Answer

4 votes

The difference between A and B, and C and D is the continuous/discontinuous line.

When the line is discontinuous, it means the values are NOT included. In this case, the sing < or > is used.

When the line is continuous, it means the values ARE included. In this case, the sing ≤ or ≥ is used.

Now, to determine which graphic is the one of our function, we can get the intersections with the y- and x-axis.

• Intersection with y-axis: ,x = 0


3x+y>4
3\cdot0+y>4
y>4

The intersection in y-axis happens on y > 4.

Intersection with x-axis: y = 0


3x+0>4
x>(4)/(3)

The intersection in y-axis happens on x > 4/3.

Answer: C.

User MFIhsan
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