Balbharati Maharashtra State Board11th Commerce Maths Solution Book PdfChapter 8 Linear Inequations Miscellaneous Exercise 8 Questions and Answers.
Maharashtra State Board 11th Commerce Maths Solutions Chapter 8 Linear Inequations Miscellaneous Exercise 8
Solve the following system of inequalities graphically.
Question 1
Maharashtra Board Solution
x ≥ 3, y ≥ 2
Solution & Step-by-Step Answer:
To find a graphical solution, construct the table as follows: The shaded portion represents the graphical solution.
Question 2
Maharashtra Board Solution
3x + 2y ≤ 12, x ≥ 1, y ≥ 2
Solution & Step-by-Step Answer:
To find a graphical solution, construct the table as follows: The shaded portion represents the graphical solution.
Question 3
Maharashtra Board Solution
2x + y ≥ 6, 3x + 4y < 12
Solution & Step-by-Step Answer:
To find a graphical solution, construct the table as follows: The shaded portion represents the graphical solution.
Question 4
Maharashtra Board Solution
x + y ≥ 4, 2x – y ≤ 0
Solution & Step-by-Step Answer:
To find a graphical solution, construct the table as follows: The shaded portion represents the graphical solution.
Question 5
Maharashtra Board Solution
2x – y ≥1, x – 2y ≤ -1
Solution & Step-by-Step Answer:
To find a graphical solution, construct the table as follows: The shaded portion represents the graphical solution.
Question 6
Maharashtra Board Solution
x + y ≤ 6, x + y ≥ 4
Solution & Step-by-Step Answer:
To find a graphical solution, construct the table as follows: The shaded portion represents the graphical solution.
Question 7
Maharashtra Board Solution
2x + y ≥ 8, x + 2y ≥ 10
Solution & Step-by-Step Answer:
To find a graphical solution, construct the table as follows: The shaded portion represents the graphical solution.
Question 8
Maharashtra Board Solution
x + y ≤ 9, y > x, x ≥ 0
Solution & Step-by-Step Answer:
To find a graphical solution, construct the table as follows: The shaded portion represents the graphical solution.
Question 9
Maharashtra Board Solution
5x + 4y ≤ 20, x ≥ 1, y ≥ 2
Solution & Step-by-Step Answer:
To find a graphical solution, construct the table as follows: The shaded portion represents the graphical solution.
Question 10
Maharashtra Board Solution
3x + 4y ≤ 60, x +3y ≤ 30, x ≥ 0, y ≥ 0
Solution & Step-by-Step Answer:
To find a graphical solution, construct the table as follows: The shaded portion represents the graphical solution.
Question 11
Maharashtra Board Solution
2x + y ≥ 4, x + y ≤ 3, 2x – 3y ≤ 6
Solution & Step-by-Step Answer:
To find a graphical solution, construct the table as follows: The shaded portion represents the graphical solution.
Question 12
Maharashtra Board Solution
x – 2y ≤ 3, 3x + 4y ≥ 12, x ≥ 0, y ≥ 1
Solution & Step-by-Step Answer:
To find a graphical solution, construct the table as follows: The shaded portion represents the graphical solution.
Question 13
Maharashtra Board Solution
4x + 3y ≤ 60, y ≥ 2x, x ≥ 3, x, y ≥ 0
Solution & Step-by-Step Answer:
To find a graphical solution, construct the table as follows: The shaded portion represents the graphical solution.
Question 14
Maharashtra Board Solution
3x + 2y ≤ 150, x + 4y ≥ 80, x ≤ 15, y ≥ 0, x ≥ 0
Solution & Step-by-Step Answer:
To find a graphical solution, construct the table as follows: The shaded portion represents the graphical solution.
Question 15
Maharashtra Board Solution
x + 2y ≤ 10, x + y ≥ 1, x – y ≤ 0, x ≥ 0, y ≥ 0
Solution & Step-by-Step Answer:
To find a graphical solution, construct the table as follows: The shaded portion represents the graphical solution.
