Explore BrainMass

Explore BrainMass

    Properties of inequalities/solving inequalities and equation

    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!

    Topic 1: Properties of Inequalities

    We have two variables A and X.
    The value of X is less than the value of A
    Discuss without using any specific numbers, how we can prove that the value of ( -X) is greater than the value of( -A).

    Do not use any numerical examples.

    Keep in mind that A or X could be any numerical value.

    Keep in mind that A or X could be a negative value.
    There are two completely different ways to prove the result.
    Discuss the possibilities. You need not get it exactly right the first time.

    Topic 2: solving inequalities and equations

    What rule of operations that applies when you are solving an equation does not apply when you are solving an inequality? Show with examples.Discuss what rules use to solve them. What is differences between an equations and inequality.

    NOTE: This is a discussion about the differences in the process of solving an equation and an inequality.

    © BrainMass Inc. brainmass.com December 15, 2022, 8:16 pm ad1c9bdddf

    Solution Preview


    1. The best way to prove that -X is greater than -A when X<A is using a number line.

    We know that if X < A, then X is nearer to zero and A is farther, both to the right side of the origin (zero).

    The farther the number to zero to the right, the greater the value. The opposite is if the number is farther to the left of zero, then it has lesser value.

    If we now consider the negative values of X and A, -X is nearer to zero and -A is farther, ...

    Solution Summary

    This posting contains the solution to the given problems.