Solution: The given inequalities are \[x+2y\le 10\], \[x+y\ge 1\], \[x-y\le 0\], \[x\ge 0,y\ge 0\] For \[x+2y\le 10\], Let us put the value of \[x=0\] and \[y=0\] in equation one by one, we get...
Solve the following system of inequalities graphically: \[3x+2y\le 150\], \[x+4y\le 80\], \[x\le 5\], \[y\ge 0,x\ge 0\]
Solution: The given inequalities are \[3x+2y\le 150\], \[x+4y\le 80\], \[x\le 5\], \[y\ge 0,x\ge 0\] For \[3x+2y\le 150\] Let us put value of \[x=0\] and \[y=0\] in equation one by one, we get...
Solve the following system of inequalities graphically: \[4x+3y\le 60\], \[y\ge 2x\], \[x\ge 3\], \[x,y\ge 0\]
Solution: The given inequalities are \[4x+3y\le 60\], \[y\ge 2x\], \[x\ge 3\], \[x,y\ge 0\] For \[4x+3y\le 60\], Let us put value of \[x=0\] and \[y=0\] in equation one by one, we get \[y=20\]and...
Solve the following system of inequalities graphically: \[x-2y\le 3\], \[3x+4y\ge 12\], \[x\ge 0\], \[y\ge 1\]
Solution: The given inequalities are \[x-2y\le 3\], \[3x+4y\ge 12\], \[x\ge 0\], \[y\ge 1\] For \[x-2y\le 3\] Let us put value of \[x=0\] and \[y=0\] in equation one by one, we get \[y=-1.5\]and...
Solve the following system of inequalities graphically: \[2x+y\ge 4\], \[x+y\le 3\], \[2x-3y\le 6\]
Solution: The given inequalities are \[2x+y\ge 4\], \[x+y\le 3\], \[2x-3y\le 6\] For \[2x+y\ge 4\], Let us put value of \[x=0\] and \[y=0\] in equation one by one, we get \[y=4\]and \[x=2\] We get...
Solve the following system of inequalities graphically: \[3x+4y\le 60\], \[x+3y\le 30\], \[x\ge 0\], \[y\ge 0\]
Solution: The given inequalities are \[3x+4y\le 60\], \[x+3y\le 30\], \[x\ge 0\], \[y\ge 0\] For \[3x+4y\le 60\], Let us put value of \[x=0\] and \[y=0\] in equation one by one, we get \[y=15\]and...
Solve the following system of inequalities graphically: \[5x+4y\le 20\], \[x\ge 1\], \[y\ge 2\]
Solution: The given inequalities are \[5x+4y\le 20\], \[x\ge 1\], \[y\ge 2\] For \[5x+4y\le 20\], Let us put value of \[x=0\] and \[y=0\] in equation one by one, we get \[y=5\]and \[x=4\] We get the...
Solve the following system of inequalities graphically: \[x+y\le 9\], \[y>x\] , \[x\ge 0\]
Solution: The given inequalities are \[x+y\le 9\], \[y>x\] , \[x\ge 0\] For \[x+y\le 9\], Let us put value of \[x=0\] and \[y=0\] in equation one by one, we get \[y=9\] and \[x=9\] We get the...
Solve the following system of inequalities graphically: \[2x+y\ge 8\], \[x+2y\ge 10\]
Solution: The given inequalities are \[2x+y\ge 8\], \[x+2y\ge 10\] For \[2x+y\ge 8\] Let us put value of \[x=0\]and \[y=0\]in equation one by one, we get \[y=8\]and \[x=4\] We get the required...
Solve the following system of inequalities graphically: \[x+y\le 6\], \[x+y\ge 4\]
Solution: The given inequalities are \[x+y\le 6\], \[x+y\ge 4\] For \[x+y\le 6\], Let us put the value of \[x=0\] and \[y=0\] in equation one by one, we get \[y=6\] and \[x=6\] We got the points as...
Solve the following system of inequalities graphically: \[2x-y>1\], \[x-2y<-1\]
Solution: The given inequalities are \[2x-y>1\], \[x-2y<-1\] \[2x-y>1\]……………… (i) Let us put value of \[x=0\] and \[y=0\]in equation one by one, we get \[y=-1\]and \[x=0.5\] We got the...
Solve the following system of inequalities graphically: \[x+y\ge 4,2x-y<0\]
Solution: The given inequalities are \[x+y\ge 4,2x-y<0\] For \[x+y\ge 4\] Let us put the value of \[x=0\]and \[y=0\]in equation one by one, we get \[y=4\]and \[x=4\] Therefore, we got points as...
Solve the following system of inequalities graphically: \[3x+2y\le 12,x\ge 1,y\ge 2\]
Solution: Given inequalities \[3x+2y\le 12,x\ge 1,y\ge 2\] Let us solve values of x and y by putting \[x=0\]and \[y=0\]one by one we get, \[y=6\]and \[x=4\] We get the points as \[(0,6)\] and...
Solve the following system of inequalities graphically: \[x\ge 3,y\ge 2\]
Solution: The given inequalities are \[x\ge 3\] ……… (i) \[y\ge 2\] …………… (ii) so \[x\ge 3\] that means for any value of y the equation will be unaffected and similarly for \[y\ge 2\], for any value...