11th NCERT/CBSE Linear Inequalities Exercise 6.2 Questions 9
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Solve the following inequalities graphically in two-dimensional plane:

Question (1)

x + y < 5

Solution

line : x + y = 5
x 0 5
y 5 0


Question (2)

2x + y ≥ 6

Solution

line : 2x + y = 6
x 0 3
y 6 0


Question (3)

3x + 4y ≤ 12

Solution

line : 3x + 4y = 12
x 0 4
y 3 0


Question (4)

x + 8 ≥ 2x

Solution

line : y + 8 = 2x
x 0 4
y -8 0


Question (5)

x - y ≤ 2

Solution

line : x - y = 2
x 0 2
y -2 0


Question (6)

2x - 3y > 6

Solution

line : 2x - 3y = 6
x 0 3
y -2 0


Question (7)

-3x + 2y ≥ -6

Solution

line : -3x + 2y = 6
x 0 -2
y 3 0


Question (8)

3y - 5x < 30

Solution

line : 3y - 5x = 30
x 0 -6
y 10 0


Question (9)

y < -2

Solution

line : y = -2


Question (10)

x > -3

Solution

Exercise 6.1 ⇐
⇒ Exercise 6.3