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Solve : -5 ("X" + 4) > 30 ; "X" ∈ "Z" - Mathematics

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Sum

Solve : `-5 ("x" + 4) > 30 ; "x" ∈ "Z"`

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Solution

-5 (x + 4) > 30

`=> (-5("x" + 4))/-5 < 30/-5` ...(Dividing by -5)

Note: Division by a negative number reverses the equality.

⇒ x + 4 < -6

⇒ x + 4 - 4 < - 6 - 4  ...(Subtracting 4)

⇒ x < -10

∴ Required answer = {-11, -12, -13, ...}

Concept: Replacement Set and Solution Set
  Is there an error in this question or solution?
Chapter 15: Linear Inequations - Exercise 15 (A) [Page 173]

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Selina Concise Mathematics Class 8 ICSE
Chapter 15 Linear Inequations
Exercise 15 (A) | Q 7 | Page 173
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