Explore BrainMass

Explore BrainMass

    Inequalities, Cross Multiplication and Multiplying by Negative Numbers

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    1) If a < b, then -a > -b Why?

    2) What role of operations that applies when you are solving an equation does not apply when you are solving an inequality?

    3) What is the inherent meaning and justification of cross-multiplication as it applies to solving an inequality?

    4) What is different about multiplying an equation by a negative number and multiplying an inequality by a negative number?

    © BrainMass Inc. brainmass.com December 24, 2021, 6:56 pm ad1c9bdddf
    https://brainmass.com/math/basic-algebra/inequalities-cross-multiplication-multiplying-151545

    Solution Preview

    1) If a < b, then -a > -b Why?
    This is a property of inequalities. If an inequality is multiplied (or divided) by a negative number, the sign of the inequality gets reversed. If 2 <3, then we know that
    -2 > -3.

    2) What role of operations that applies when you are solving an equation does not apply when you are solving an inequality?
    Multiplication and Division. As stated ...

    Solution Summary

    Inequalities, cross multiplication and multiplying by negative numbers are investigated. The solution is detailed and well presented. The response was given a rating of "5/5" by the student who originally posted the question.

    $2.49

    ADVERTISEMENT