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.

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.

step-by-step explanation:

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