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When solving a linear inequality, if the coefficient is negative, then

you must reverse the sense of the inequality.
a. True
b. False

User Nakima
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1 Answer

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Final answer:

When solving an inequality, if you multiply or divide by a negative number, the inequality sign must be reversed. This is a true statement in mathematics.

Step-by-step explanation:

The question concerns a concept in mathematics related to solving inequalities. When solving a linear inequality, if you multiply or divide both sides of the inequality by a negative number, you must reverse the sense of the inequality. This is because multiplying or dividing by a negative number changes the direction of the inequality. For example, if we have -T \(\times\) A > 0, and we divide both sides by -T, we must reverse the inequality to A < 0 to preserve the true statement. The statement that the sense of the inequality must be reversed when the coefficient is negative is true.

User Chad Nehemiah
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