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NCERT Class 11- Math՚s: Chapter – 6 Linear Inequalities Part 7
Question 15:
Find the linear inequalities for which the shaded region in the given figure is the solution set.
Answer:
Question 16:
Show that the following system of linear inequalities has no solution
Answer:
let՚s plot the region of each inequality and then find the common region of all
x | 3 | 1 |
y | 0 | 1 |
Also, satisfies the , hence region is towards the origin
Line:
x | 0 | 4 |
y | 3 | 0 |
Also, satisfies the , hence region is towards the origin
implies that region is right to the y-axis and implies that region is up above the line ,
Question 17:
Solve the following system of linear inequalities:
Answer:
let՚s plot the region of each inequality and then find the common region of all
x | 0 | 8 |
y | 12 | 0 |
Also, doesn՚t satisfy the , hence region is away from the origin
Line:
x | 0 | 5 |
y | 15 | 0 |
Also, satisfies the , hence region is towards the origin
implies that region is right to the line ,
Question 18:
Show that the solution set of the following system of linear inequalities is an unbounded region
Answer:
let՚s plot the region of each inequality and then find the common region of all
Line:
x | 0 | 8 |
y | 4 | 0 |
Also, doesn՚t satisfy the , hence region is away from the origin
Line:
x | 0 | 10 |
y | 5 | 0 |
Also, doesn՚t satisfy the , hence region is away from the origin