KC Sinha Mathematics Solution Class 11 Chapter 13 Linear Inequalities Exercise 13.4

Exercise 13.4

Page no 13.45

Type 1

Question 1

Solve the following system of inequations graphically :

$x \geq 1, y \leq 4$

$x \geq 5, y \geq 2$

$x+2 y \geq 20,3 x+y \leq 15$

$x+y>6,2 x-y>0$

$2 x+y-3 \geq 0, x-2 y+1 \leq 0, x \geq 0, y \geq 0$

page no 13.46

$4 x+3 y \geq 12,4 x-5 y \geq-20$

$2 x-y>1, x-2 y<-1$

$8 x+3 y \leq 100, x \geq 0, y \geq 0$

$5 x+6 y \geq 30, x \geq 0, y \geq 0$

10.

$3 x+4 y \leq 60, x+3 y \leq 30, x \geq 0, y \geq 0$

11.

$x+3 y \leq 12,3 x+y \leq 12, x \geq 0, y \geq 0$

12.

$x+y<6,7 x+4 y \leq 28, x \geq 0, y \geq 0$

13.

$x+y \leq 9, y>x, x \geq 1$

14.

$2 x+y \geq 4, x+y \leq 3,2 x-3 y \leq 6$

15.

$2 x+y \leq 24, x+y \leq 11,2 x+5 y \leq 40, x \geq 0, y \geq 0$

16.

$2 x+y-3 \geq 0, x-2 y+1 \leq 0, y<3$

17.

$x+2 y \leq 3,3 x+4 y \geq 12, x \geq 0, y \geq 1$