Question

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

Answer 1

Explanation:

Given equations are

`3x+6y\leq 12`

`-x+y\geq 0`

Now the inequalities intersect at x=
`(4)/(3)`

y=
`(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