An ordered pair is represented by (x,y). The ordered pair that makes the sentence 5x- y > 12, true is (1,-8)
Given that:
[tex]5x - y > 12[/tex]
First, we test each option
[tex](a)\ (3,4)[/tex]
So, we have:
[tex]5 \times 3 - 4 > 12[/tex]
[tex]15 - 4 > 12[/tex]
[tex]11 > 12[/tex] ---- This is false
[tex](b)\ (4,9)[/tex]
So, we have:
[tex]5 \times 4 - 9 > 12[/tex]
[tex]20 - 9 > 12[/tex]
[tex]11> 12[/tex] --- This is false
[tex](c)\ (1,-8)[/tex]
So, we have:
[tex]5 \times 1 --8 > 12[/tex]
[tex]5 +8 > 12[/tex]
[tex]13 > 12[/tex] --- This is true
[tex](d)\ (0,-10)[/tex]
So, we have:
[tex]5 \times 0--10 > 12[/tex]
[tex]0+10>12[/tex]
[tex]10>12[/tex] ---- This is false
[tex](e)\ (-1,-17)[/tex]
So, we have:
[tex]5 \times -1 --17 > 12[/tex]
[tex]-5 +17 > 12[/tex]
[tex]12 > 12[/tex] --- This is false
Hence, the ordered pair that makes [tex]5x - y > 12[/tex], true is: [tex](c)\ (1,-8)[/tex]
Learn more about ordered pair at:
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