Online Maths NCERT Solutions Class 11-Linear Inequality
Maths NCERT Solutions Class 11: For those students who have trouble finding solutions to their exercise can refer Class 11 Maths online classes as the content and solutions are prepared by expert teachers. For a better understanding of concepts, 2D-3D animated videos, as well as recorded lectures, are available. For practice, we provide question bank with solutions, objective as well as subjective, study material will help the students to achieve maximum marks in their exam. Regularly we share notes in the form of articles and blogs, Here, we discuss ‘Linear inequalities’.
Example 1: The length of a rectangle is three times the breadth. If the minimum perimeter of the rectangle is 160 cm, then
(A) breadth > 20 cm (B) length < 20 cm
(C) breadth ≥ 20 cm (D) length ≤ 20 cm
Solution: (C) is the correct choice.
Let x is breadth then length is 3x and the perimeter is 2(3x+x).
Acc to given condition
2 (3x + x) ≥ 160 ⇒x ≥ 20.
Example 2: Solve │x+2│≤ 9
Solution:
-9≤ x+2 ≤ 9 (Since | x| ≤ a ⇔– a ≤ x ≤ a)
-11≤ x ≤ 7
Example 3: Solve │3-4x│≥9
Solution:
3 – 4x ≤ – 9 or3 – 4x ≥ 9 (Since | x| ≥ a ⇔ x≤ – a or x ≥ a)
– 4x ≤ – 12or – 4x ≥ 6
X ≥ 3 or x ≤ -3/2
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