NCERT Solutions Class 11 Mathematics Linear Inequalities Exercise 6.2

Class 11 – MathematicsLinear Inequalities – Exercise 6.2 Question 1: Solve the given inequality graphically in two-dimensional plane: x + y < 5 Answer: The graphical representation of x + y = 5 is given as dotted line in the figure below. This line divides the xy-plane in two half planes, I and II. Select …
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NCERT Solutions Class 11 Mathematics Linear Inequalities Exercise 6-Misc

Class 11 – MathematicsLinear Inequalities – Exercise 6 – Misc Question 1: Solve the inequality 2 ≤ 3x – 4 ≤ 5 Answer: Given, 2 ≤ 3x – 4 ≤ 5 ⇒ 2 + 4 ≤ 3x – 4 + 4 ≤ 5 + 4 ⇒ 6 ≤ 3x ≤ 9 ⇒ 2 ≤ x …
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NCERT Solutions Class 11 Mathematics Linear Inequalities Exercise 6.3

Class 11 – MathematicsLinear Inequalities – Exercise 6.3 Question 1: Solve the following system of inequalities graphically: x ≥ 3, y ≥ 2. Answer: x ≥ 3      ………….1 y ≥ 2      ………….2 The graph of the lines, x = 3 and y = 2, are drawn in the figure below. Inequality 1 represents the region …
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NCERT Solutions Class 11 Mathematics Linear Inequalities Exercise 6.1

Class 11 – MathematicsLinear Inequalities – Exercise 6.1 Question 1: Solve 24x < 100, when           (i) x is a natural number               (ii) x is an integer Answer: The given inequality is 24x < 100 ⇒ x < 100/24 ⇒ x < 25/6 (i) It is evident that 1, 2, 3, and 4 are the only …
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