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Mathematics

Solve and graph the solution set of :

3x - 2 > 19 or 3 - 2x ≥ -7; x ∈ R

Linear Inequations

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Answer

Given,

3x - 2 > 19 or 3 - 2x ≥ -7

Solving, 3x - 2 > 19

⇒ 3x > 19 + 2

⇒ 3x > 21

⇒ x > 7

Solving, 3 - 2x ≥ -7

⇒ 2x ≤ 3 + 7

⇒ 2x ≤ 10

⇒ x ≤ 5.

Hence, x > 7 or x ≤ 5.

Solution on the number line is :

3x - 2 > 19 or 3 - 2x ≥ -7; x ∈ R. Solve and graph the solution set. Linear Inequations, Concise Mathematics Solutions ICSE Class 10.

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