7. 2x+y26
The inequality is given as 2 x + y ≥ 6 .
First draw the graph of,
2 x + y = 6 (1)
Put x = 0 in equation (1),
y = 6
Similarly, put y = 0 in equation (1),
x = 3
Substitute 0 for x and 0 for y in the given inequality.
0 + 0 ≥ 6 0 ≥ 6
The above inequality is false because 0 can never be greater than or equal to 6, therefore the graph will shade away from the origin.
Draw the graph from the obtained coordinates ( 0 , 6 ) and ( 3 , 0 ) .
The graph of inequality in the two dimensional plane is drawn as,
Figure (1)
Figure (1) shows the shaded region which gives the solution of the inequality.
The points on the line are the solution of the inequality because 2 x + y ≥ 6 .
Thus, the shaded region shows the solution of inequality 2 x + y ≥ 6 .
The inequality is given as
First draw the graph of,
Put
Similarly, put
Substitute 0 for x and 0 for y in the given inequality.
The above inequality is false because 0 can never be greater than or equal to 6, therefore the graph will shade away from the origin.
Draw the graph from the obtained coordinates
The graph of inequality in the two dimensional plane is drawn as,
Figure (1)
Figure (1) shows the shaded region which gives the solution of the inequality.
The points on the line are the solution of the inequality because
Thus, the shaded region shows the solution of inequality
