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Mathematics

Solve 2(x - 3) < 1, x ∈ {1, 2, 3, ………., 10}.

Linear Inequations

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Answer

Given,

2(x−3)<1⇒2x−6<1⇒2x−6+6<1+6⇒2x<7⇒x<72⇒x<3.52(x - 3) \lt 1 \\[0.5em] \Rightarrow 2x-6 \lt 1 \\[0.5em] \Rightarrow 2x-6 + 6 \lt 1 + 6 \\[0.5em] \Rightarrow 2x \lt 7 \\[0.5em] \Rightarrow x \lt \dfrac{7}{2} \\[0.5em] \Rightarrow x \lt 3.5

But x ∈ {1, 2, 3, ……., 10}
Solution set is {1, 2, 3}.

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