Question

Which shows the graph of the solution set of 6x + 3y ≤ 12?

Answer 1

Answer with explanation:

The given inequality in two variables is

⇒ 6 x + 3 y ≤ 12

⇒3×(2 x +y)≤ 3 × 4

Cancelling,3 from, both sides of the equation

⇒ 2 x + y ≤ 4

Writing the above linear inequality in slope intercept form of line

`\rightarrow(2 x)/(4)+( y)/(4)\leq 1\\\\\rightarrow( x)/(2)+( y)/(4)\leq 1`

Putting, x=0, and ,y=0 in the above inequality , to check origin lies on which side of inequality

→0+0≤ 4

→0≤ 4

Solution set will include the origin and will be on the left of line and will include the line, 2 x +y≤ 4 also.