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Y>1/3x+4? Ordered pair looking how to find ordered pair

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Answer:

Explanation:

My interpretation is that you want to find a sample ordered pair that satisfies the inequality y > (1/3)x + 4.

Let x = 3 and y = 5. Substitute these values into y > (1/3)x + 4. Is the resulting inequality true or false?

5 > (1/3)(3) + 4

5 > 1 + 4, or 5 > 5. This is false. The ordered pair (3, 5) does not make this equation true.

Try again. Let x = 4 and y = 5. Is y > (1/3)x + 4 true for these values?

Is 5 > (1/3)(4) + 5 true? Is 5 > 4/3 + 5 true? No. The ordered pair (4, 5) does not make the inequality true.

Try again. Let x = -4 and y = 3. Is y > (1/3)x + 4 true for these values?

Is 3 > (1/3)(-4) + 4 true? Is 3 > -4/3 + 4 true? Yes.

So the ordered pair (-4, 3) is a solution of y > (1/3)x + 4.

Note that there are an infinite number of ordered pairs that satisfy this equation.

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