How do you graph the system $x \geq 2$ $x>=2$ and $y + x \leq 5$ $y+x<=5$ ?

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How do you graph the system $x \geq 2$ $x>=2$ and $y + x \leq 5$ $y+x<=5$ ?

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Answer 1 · 2015-06-02T12:48:14

Consider the equations
$XXXXX$ $color(white)("XXXXX")$ $x = 2$ $x=2$ which is a vertical line through $(2, 0)$ $(2,0)$
$XXXXX$ $color(white)("XXXXX")$ $XXXXX$ $color(white)("XXXXX")$ $x \geq 2$ $x>=2$ will be all points on this line plus all points to the right of it

$XXXXX$ $color(white)("XXXXX")$ $y + x = 5$ $y+x=5$ which is a line through the points $(0, 5) and (5, 0)$ $(0,5) and (5,0)$
$XXXXX$ $color(white)("XXXXX")$ $XXXXX$ $color(white)("XXXXX")$ $y + x \leq 5$ $y+x<=5$ will be all points on this line and all points below and to the left of it.

$x \geq 2 and y + x \leq 5$ $x>=2 and y+x<=5$ will be the intersection of these two areas
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How do you graph the system $x \geq 2$ $x>=2$ and $y + x \leq 5$ $y+x<=5$ ?

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How do you graph the system $x \geq 2$ $x>=2$ and $y + x \leq 5$ $y+x<=5$ ?