ect-and-if-not-provide-the-correct-transformed-inequality-after-multiplying-by-1

Question

A student starts with the inequality  4"\u003ex\u003e4x \u003e 4. They multiply both sides by −1-1 and write the result as  -4"\u003e−x\u003e−4-x \u003e -4. Evaluate whether the student's transformation is correct and provide the proper result if not.

Accepted Answer

Incorrect: Multiplying by a negative reverses the inequalityProper result: −x−4-x

Answer

Incorrect: Multiplying by a negative only changes the variable's signProper result:  4"\u003e−x\u003e4-x \u003e 4

Answer

Correct: Multiplying by a negative preserves the original inequality

Answer

Incorrect: Multiplying by a negative converts the inequality to an equationProper result: −x=−4-x = -4

A student starts with the inequality x>4x > 4. They multiply both sides by −1-1 and write the result as −x>−4-x > -4. Evaluate whether the student's transformation is correct and provide the proper result if not.

A student starts with the inequality $x is greater than 4$ . They multiply both sides by $negative 1$ and write the result as $- x > - 4$ . Evaluate whether the student's transformation is correct and provide the proper result if not.