Q:

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

Accepted Solution

A:
Answer:Step-by-step 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) + 45 > 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.