Purchase Solution

# Properties of inequalities/solving inequalities and equation

Not what you're looking for?

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.

##### Solution Summary

This posting contains the solution to the given problems.

##### Solution Preview

Hi,

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, ...

##### Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

##### Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

##### Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

##### Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

##### Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.