Q. 13
Solve the given inequalities 5x + 4y ≤ 20, x ≥ 1, y ≥ 2 graphically in two – dimensional plane.
Answer :
The graphical representation of is given by common region in the figure below.
.…… (1)
……. (2)
……. (3)
Inequality (1) represents the region below line (including the line
).
Inequality (2) represents the region in front of line (including the line
).
Inequality (3) represents the region above line (including the line
).
Therefore,every point in the common shaded region including the points on the respective lines represents the solution for the given inequalities.
This can be represented as follows,
Rate this question :






















Show that the solution set of the following system of linear inequalities is an unbounded region 2x + y≥ 8, x + 2y≥ 10, x ≥ 0, y ≥ 0.
RD Sharma - Mathematicssolve the following systems of inequations graphically :
5x + y ≥ 10, 2x + 2y ≥ 12, x + 4y ≥ 12, x ≥ 0, y ≥ 0
RD Sharma - Mathematicssolve the following systems of inequations graphically :
x + 2y≤ 40,3x + y ≥ 30, 4x + 3y≥ 60, x ≥ 0, y ≥ 0
RD Sharma - Mathematicssolve the following systems of inequations graphically :
2x + y ≥ 8, x + 2y ≥ 8, x + y ≤ 6
RD Sharma - Mathematicssolve the following systems of inequations graphically :
12 + 12y ≤ 840, 3x + 6y ≤ 300,8x + 4y ≤ 480, x ≥ 0, y ≥ 0
RD Sharma - MathematicsFind the linear inequations for which the solution set is the shaded region given in Fig. 15.42.
Show that the following system of linear equations has no solution :
x + 2y ≥ 3, 3x + 4y ≥ 12, x ≥ 0, y ≥ 1.
RD Sharma - MathematicsShow that the solution set of the following linear inequations is an unbounded set :
x + y ≥ 9, 3x + y ≥ 12, x ≥ 0, y ≥ 0.
RD Sharma - Mathematics