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22 March, 01:40

Solve for x: 3x - 2 > 5x + 10.

x > 6

x < 6

x < - 6

x > - 6

+3
Answers (2)
  1. 22 March, 03:35
    0
    x < - 6

    Step-by-step explanation:

    3x - 2 > 5x + 10

    5x + 10 < 3x - 2

    5x - 3x < - 2 - 10

    2x < - 12

    x < - 12/2

    => x < - 6
  2. 22 March, 03:38
    0
    x < - 6

    Step-by-step explanation:

    In inequalities, the division by a negative number results in change of the sign. That is from less than to greater than and vice versa.

    Therefore,

    3x - 2 > 5x + 10.

    = 3x - 5x > 2 + 10

    = - 2x > 12

    = x < - 6

    The sign changes as defined above.
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