The shaded figure given below is the solution | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) To determine the correct system of linear inequalities for the shaded region,we analyze the boundary lines and the direction of the shaded area re

Vedclass · Accepted Answer

$3x + 4y \leq 18; x - 6y \leq 3; 2x + 3y \geq 3; -7x + 14y \leq 14; x \geq 0; y \geq 0$

Vedclass · Answer

(C) To determine the correct system of linear inequalities for the shaded region,we analyze the boundary lines and the direction of the shaded area relative to the origin $(0,0)$.$1$. The region is in the first quadrant,so $x \geq 0$ and $y \geq 0$.$2$. For the line $3x + 4y = 18$,the origin $(0,0)$ satisfies $3(0) + 4(0) = 0 $3$. For the line $x - 6y = 3$,the origin $(0,0)$ satisfies $0 - 0 = 0 $4$. For the line $2x + 3y = 3$,the origin $(0,0)$ satisfies $2(0) + 3(0) = 0 $5$. For the line $-7x + 14y = 14$,the origin $(0,0)$ satisfies $-7(0) + 14(0) = 0 Comparing these with the given options,option $C$ matches all these conditions.

The shaded figure given below is the solution set for the linear inequations. Choose the correct option.

Similar Questions

The common region of the solution of the inequations $x+2y \geq 4$,$2x-y \leq 6$ and $x, y > 0$ is

The inequalities represented by the coloured region in the figure are...

The graphical solution set of the system of inequations $2x + 3y \leq 6$,$x + 4y \geq 4$,$x \geq 0$,$y \geq 0$ is given by

The shaded region given in the figure represents the $\ldots \ldots \ldots$ inequality.

Solve the following system of inequalities graphically: $x \geq 3, y \geq 2.$

Vedclass Test Series

Exam Paper Generator

Online Exam Module