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2 September, 07:33

2 (4+2x) > 5x+5

Solve the inequality

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Answers (1)
  1. 2 September, 07:52
    0
    x < 3

    Step-by-step explanation:

    Apply distributive property on the left of the inequality to get rid of the parenthesis:

    8+4x > 5x+5

    subtract 4x from both sides to group all terms with x on the right:

    8 > 5x-4x+5

    8 > x + 5

    Now subtract 5 from both sides to collect all numerical terms on the left:

    8 - 5 > x

    3 > x

    Therefore the solution to the inequality are of those real numbers strictly smaller than 3.

    The inequality can be written as x x

    Notice that the opening of the angle symbol is always facing the number 3, meaning that 3 is the larger of the two numerical objects that are compared.
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