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. Please show points and shading? Im confused bad

Respuesta :

Answer:

Step-by-step explanation:

Given equations are

[tex]3x+6y\leq 12[/tex]

[tex]-x+y\geq 0[/tex]

Now the inequalities intersect at x=[tex]\frac{4}{3}[/tex]

y=[tex]\frac{4}{3}[/tex]

and we have to satisfy this also

[tex]x\geq 0[/tex]

[tex]y\geq 0[/tex]

Above all conditions is shown in graph

and the shaded  area is the required area

For  [tex]3x+6y\leq 12[/tex] put (0,0)

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

[tex]-x+y\geq 0[/tex]

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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