Mathematics
Grade10
Easy

Question

Solve 12 < 2x < 28

  1. 6 < x < 28
  2. 3 < 2x < 14
  3. 12 < x < 14
  4. 6 < x < 14

hintHint:

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

The correct answer is: 6 < x < 14


    The compound inequality 12 < 2x < 28 involves “and.”
    Solving 12 < 2x
    12 over 2 less than fraction numerator 2 x over denominator 2 end fraction
    6 < x
    x > 6
    Solving 2x < 28
    fraction numerator 2 x over denominator 2 end fraction less than 28 over 2
    x < 14
    So, the solution of the inequality given is “x > 6 and x < 14” or “6 < x < 14.”

    Inequality reversed, if we multiply both side by -1

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