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15. Linear Inequations
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Q17 of 122 Page 15

Solve the following linear inequations in R

Given





⇒ 2x – 7 < 3x – 6


⇒ 2x – 7 + 7 < 3x – 6 + 7


⇒ 2x < 3x + 1


⇒ 3x + 1 > 2x


⇒ 3x + 1 – 1 > 2x – 1


⇒ 3x > 2x – 1


⇒ 3x – 2x > 2x – 1 – 2x


∴ x > –1


Thus, the solution of the given inequation is (–1, ∞).


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Questions · 122
15. Linear Inequations
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