Flashcard 6 - Mathematics: Algebraic Reasoning Flashcard Set for the TSIA2

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The correct answer is:

true


Explanation:

We follow the equation-solving rules when dealing with inequalities. The only exception is when we multiply or divide by a negative number, we reverse the inequality sign.

\[-2x + 6 > 10\] \[-2x > 10 - 6\] \[-2x > 4\] \[\frac{-2x}{-2} > \frac{4}{-2}\] \[x < -2\]

Note how we changed the inequality sign from \(>\) to \(<\) in the last step when dividing by a negative number.

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