Mathematics: Graph and show points for 3x+6yless than or equal to 12, -x+y greater than or equal to 0, x is greater than or equal to 0, y is greater than or equal to 0. show points and shading? im confused bad

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Graph and show points for 3x+6yless than or equal

genyjoannerubiera

13.03.2022

Step-by-step explanation:

Given equations are

$3x+6y\leq 12$

$-x+y\geq 0$

Now the inequalities intersect at x= $\frac{4}{3}$

y= $\frac{4}{3}$

and we have to satisfy this also

$x\geq 0$

$y\geq 0$

Above all conditions is shown in graph

and the shaded area is the required area

For $3x+6y\leq 12$ put (0,0)

it satisfy the point i.e. (0,0) lie on that side which satisfy the inequality similarly check for

$-x+y\geq 0$

put (4,0) it do not satisfy the inequality therefore it lies on the side which do not satisfy the inequality

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