Solution: The given inequalities are \[2x+y\ge 6\]…………… (i) \[3x+4y\le 12\]……………. (ii) For \[2x+y\ge 6\] Take value of \[x=0\] and \[y=0\] in equation one by one, we get value of \[y=6\]and \[x=3\]...
Solve the following system of inequalities graphically:
Solve the following inequalities graphically in two-dimensional plane:
Solution: The given inequality is \[x>-3\] Let us draw a dotted line \[x=-3\] in the graph (∵\[x=-3\] is excluded in the given question) Let us Consider \[x>-3\] A point \[(0,0)\] is selected,...
Solve the following inequalities graphically in two-dimensional plane:
Solution: The given inequality is \[y<-2\] Let us draw a dotted line \[y=-2\] in the graph (∵ \[y=-2\] is excluded in the given question) Let us Consider \[y<-2\] A point \[(0,0)\] is...
Solve the following inequalities graphically in two-dimensional plane:
Solution: The given inequality is \[y-5x<30\] Let us draw a dotted line \[3y-5x=30\] in the graph (∵\[3y-5x=30\] is excluded in the given question) Let us Consider \[3y-5x<30\] A point...
Solve the following inequalities graphically in two-dimensional plane:
Solution: The given inequality is \[-3x+2y\ge -6\] Let us draw a solid line \[-3x+2y=-6\] in the graph (∵\[-3x+2y=-6\] is included in the given question) Let us consider \[-3x+2y\ge -6\] A point...
Solve the following inequalities graphically in two-dimensional plane:
Solution: The given inequality is \[2x-3y>6\] Let us draw a dotted line \[2x-3y=6\] in the graph (∵\[2x-3y=6\] is excluded in the given question) Let us Consider \[2x-3y>6\] A point...
Solve the following inequalities graphically in two-dimensional plane:
Solution: The given inequality is \[x-y\le 2\] Let us draw a solid line \[x-y=2\] in the graph (∵ \[x-y=2\] is included in the given question) Let us Consider \[x-y\le 2\] A point \[(0,0)\] is...
Solve the following inequalities graphically in two-dimensional plane:
Solution: The given inequality is \[y+8\ge 2x\] Let us draw a solid line \[y+8=2x\] in the graph (∵\[y+8=2x\] is included in the given question) Let us Consider \[y+8\ge 2x\] A point \[(0,0)\]...
Solve the following inequalities graphically in two-dimensional plane:
Solution: The inequality given is \[3x+4y\le 12\] Let us draw a solid line \[3x+4y=12\] in the graph (∵\[3x+4y=12\] is included in the given question) Let us consider \[3x+4y\le 12\] A point...
Solve the following inequalities graphically in two-dimensional plane:
Solution: The given inequality is \[2x+y\ge 6\] Let us draw a solid line \[2x+y=6\] in the graph (∵\[2x+y=6\] is included in the given question) Now take \[2x+y\ge 6\] A point \[(0,0)\] is selected...
Solve the following inequalities graphically in two-dimensional plane:
Solution: Given inequality \[x+y<5\] Now consider, X \[0\] \[5\] y \[5\] \[0\] Let us draw a dotted line \[x+y=5\] in the graph (∵ \[x+y=5\] is excluded in the given question) Let us take...