The inequalities $ {5x + 4y \geq 20, x \leq 6, y \leq 4}$ forms
- A square
- A rhombus
- A triangle
- A quadrilateral
The Correct Option is D
Solution and Explanation
Top Questions on graphical solution of linear inequalities in two variables
- For the system of linear equations
2x+4y+2az=b
x+2y+3z=4
2x-5y+2z=8
which of the following is NOT correct ?- JEE Main - 2023
- Mathematics
- graphical solution of linear inequalities in two variables
If the system of linear equations
2x + y – z = 7
x – 3y + 2z = 1
x + 4y + δz = k, where δ, k ∈ R
has infinitely many solutions, then δ + k is equal to:
- JEE Main - 2022
- Mathematics
- graphical solution of linear inequalities in two variables
- Consider $\frac{x}{2}+\frac{y}{4} \ge1,$ and $\frac{x}{3}+\frac{y}{4} \le1, x, y \ge0.$ Then number of possible solutions are :
- BITSAT - 2019
- Mathematics
- graphical solution of linear inequalities in two variables
- The real values of $x$ and $y$ for which the following equality hold, are respectively $(x^{4}+2xi)-(3x^{2}+iy)=(3-5i)+(1+2iy)$
- Mathematics
- graphical solution of linear inequalities in two variables
Notes on graphical solution of linear inequalities in two variables
Concepts Used:
Graphical Solution of Linear Inequalities In Two Variables
Graphical representation needs the plotting of the x and y in graph paper. Plotting the x and y values of the equation on the coordinate plane. For plotting the graph you will be needed at least 3 sets of points. It is very much important for those points to fall in a straight line. If the points are haphazardly placed, it will indicate some fault in your work.
On the graph paper, draw the x and y-axis. Simply, the x and y-axis are two number lines that are placed perpendicular to each other at the (0,0) point. This point is known to be the origin. Use the aforesaid values for plotting the points. Join all of these points with a straight line.
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