Mathematics
Grade10
Easy

Question

Solve - 8 < 2  (x + 4) or - 3x + 4 > x - 4

  1. - 8 < x < 2
  2. - 8 ≤ x < 2
  3. - 8 < x ≤ 2
  4. - 8 ≤ x ≤ 2

hintHint:

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions

The correct answer is: - 8 < x < 2


    8 < 2(x + 4)
    - 8 < 2x + 8
    - 16 < 2x
    - 8 < x
    - 3x + 4 > x - 4
    - 3x + 8 > x
    8 > 4x
    2 > x
    So, - 8 < x < 2

    Inequality reverse if we multiply both side with -1

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