Exercise 13.4
Page no 13.45
Type 1
Question 1
Solve the following system of inequations graphically :
1. $x \geq 1, y \leq 4$
2. $x \geq 5, y \geq 2$
3. $x+2 y \geq 20,3 x+y \leq 15$
4. $x+y>6,2 x-y>0$
5. $2 x+y-3 \geq 0, x-2 y+1 \leq 0, x \geq 0, y \geq 0$
page no 13.46
6. $4 x+3 y \geq 12,4 x-5 y \geq-20$
7. $2 x-y>1, x-2 y<-1$
8. $8 x+3 y \leq 100, x \geq 0, y \geq 0$
9. $5 x+6 y \geq 30, x \geq 0, y \geq 0$
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. $x+2 y \leq 3,3 x+4 y \geq 12, x \geq 0, y \geq 1$
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