Question

Help Please!!!!!!!!!!

Answer 1

The graph in the attached figure

Explanation:

we have

`x+3y\leq 6`

Isolate the variable y

`3y\leq 6-x`

`y\leq 2-(1/3)x`

The solution is the shaded area below the solid line

Is below because the symbol of the inequality is less

Is a solid line because the line is included in the solution

The equation of the solid line is
`y=2-(1/3)x`

To graph the solution find the intercepts

Find the x-intercept (value of x when the value of y is equal to zero)

For y=0, x=6 --------> point (6,0)

Find the y-intercept (value of y when the value of x is equal to zero)

For x=0, y=2 -------> point (0,2)

Graph the inequality

see the attached figure