Question

the solution of inequality x+2y <6 is
​

Answer 1

Answer:

Consider the line whose equation is x+2y≤6. To find the points of intersection of this line with the coordinate axes.

Put y=0,we get x=6.

∴A=(6,0) is a point on the line.

Put x=0,we get 2y=6,i.e.y=3

∴B=(0,3) is another point on the line.

Answer 2

x + 2y ≤ 6 in this case. Hence, origin lies in the required region. Therefore,the given inequality is the origin side which is shaded in the graph. This is the solution set of x + 2y ≤ 6.