# NCERT Class 11-Math՚S: Chapter – 6 Linear Inequalities Part 7 (For CBSE, ICSE, IAS, NET, NRA 2022)

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Question 15:

Find the linear inequalities for which the shaded region in the given figure is the solution set. Chapter 6-Question15-Linear Inequalities Fig 6.5

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