Solve 2/3 (X + 1) + 4 < 10 and Represent Its Solution on a Number Line. Given Replacement Set is {-8, -6, -4, 3, 6, 8, 12}. - Mathematics

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Sum

Solve `2/3` (x + 1) + 4 < 10 and represent its solution on a number line.
Given replacement set is {-8, -6, -4, 3, 6, 8, 12}.

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Solution

`2/3` (x + 1) + 4 < 10

`=> 2/3 ("x" - 1) < 10 - 4`

`=> 2/3 ("x" - 1) < 6`

⇒ 2(x - 1) < 18

⇒ x - 1 < 9

⇒ x - 1 + 1 < 9 + 1  ....(Adding 1 to both sides)

⇒ x < 10

Thus x < 10

Since, replacement set = {-8, -6, -4, 3, 6, 8, 12}

⇒ Solution set = {-8, -6, -4, 3, 6, 8}

  Is there an error in this question or solution?
Chapter 15: Linear Inequations - Exercise 15 (B) [Page 175]

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Selina Concise Mathematics Class 8 ICSE
Chapter 15 Linear Inequations
Exercise 15 (B) | Q 12 | Page 175

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