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How do you determine whether (0,0) is a solution to $y > 3 x - 2$ $y > 3x - 2$ ?

1 Answer

Jul 15, 2015

Replace $x$ $x$ with $0$ $0$ and $y$ $y$ with $0$ $0$ and if the inequality is valid, $(x, y) = (0, 0)$ $(x,y)=(0,0)$ is a solution.

Explanation:

Replacing $x$ $x$ with $0$ $0$ and $y$ $y$ with $0$ $0$ in $y > 3 x - 2$ $y > 3x-2$

Is [ $(0) > 3 (0) - 2$ $(0) > 3(0) -2$ ] true?
$XXXX$ $color(white)("XXXX")$ Yes
$XXXX$ $color(white)("XXXX")$ $\Rightarrow (0, 0)$ $rArr (0,0)$ is a solution

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