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Mathematics

Represent the solution set of each of the following inequalities on the real number line :

2x+53>3x−3\dfrac{2x + 5}{3} \gt 3x - 3

Linear Inequations

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Answer

Given,

⇒ 2x+53>3x−3\dfrac{2x + 5}{3} \gt 3x - 3

⇒ 2x + 5 > 3(3x - 3)

⇒ 2x + 5 > 9x - 9

⇒ 9x - 2x < 5 + 9

⇒ 7x < 14

Dividing both sides by 7 we get,

⇒ x < 2

∴ Solution set = { x < 2 : x ∈ R }

Solution on the number line is :

(2x + 5) / 3 > 3x - 3. Graph the solution set on the real number line. Linear Inequations, Concise Mathematics Solutions ICSE Class 10.

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