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Solve the Given Inequality for Real X: 3(X – 1) ≤ 2 (X – 3) - CBSE (Arts) Class 11 - Mathematics

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Question

Solve the given inequality for real x: 3(x – 1) ≤ 2 (– 3)

Solution

3(x – 1) ≤ 2(x – 3)

⇒ 3x – 3 ≤ 2x – 6

⇒ 3x – 3 + 3 ≤ 2x – 6 + 3

⇒ 3x ≤ 2x – 3

⇒ 3x – 2≤ 2x – 3 – 2x

⇒ x ≤ – 3

Thus, all real numbers x,which are less than or equal to –3, are the solutions of the given inequality.

Hence, the solution set of the given inequality is (–∞, –3].

  Is there an error in this question or solution?

APPEARS IN

Solution Solve the Given Inequality for Real X: 3(X – 1) ≤ 2 (X – 3) Concept: Algebraic Solutions of Linear Inequalities in One Variable and Their Graphical Representation.
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