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10 December, 12:02

If x + 6 = 11, which statement is false?

A) The equation x + 11 = 6 is equivalent to x + 6 = 11 since 6 + 11 = 11 + 6.

B) The equation 2x + 12 = 22 is equivalent to x + 6 = 11 since 2 (x + 6) = 2 (11).

C) The equation x + 9 = 14 is equivalent to x + 6 = 11 since (x + 6) + 3 = 11 + 3.

D) The equation x - 1 = 4 is equivalent to x + 6 = 11 since (x + 6) - 7 = 11 - 7.

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Answers (1)
  1. 10 December, 14:01
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    A) The equation x + 11 = 6 is equivalent to x + 6 = 11 since 6 + 11 = 11 + 6 is false.

    Step-by-step explanation:

    A) One simple way to test the truth of this statement is to solve for x:

    In x + 11 = 6, subtracting 11 from both sides leaves x = - 5.

    In x + 6 = 11, subtracting 6 from both sides leaves x = 5.

    -5 does not equal 5, so the equations are not equivalent.

    Therefore, A) is false.
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