Why are equations and inequalities important?

It tells us that two expressions represent the same number. Inequalities are used to tell us that an expression is either larger or smaller than another expression. Equations and inequalities can contain both variables and constants. Variables are usually given a letter and they are used to represent unknown values.

What have you learned about solving rational equations and inequalities?

To solve an equation involving rational functions, we cross multiply the numerators and denominators. To solve an inequality involving rational functions, we set our numerator and denominator to 0 and solve them separately. This will give us numbers that divide our function into intervals.

What can you say about equations and inequalities?

Equations and inequalities are both mathematical sentences formed by relating two expressions to each other. In an equation, the two expressions are deemed equal which is shown by the symbol =. An equation or an inequality that contains at least one variable is called an open sentence.

What grade level is inequalities?

6th-8th Grade Math: Inequalities – Chapter Summary By studying this chapter, students in the 6th-8th grades can reinforce what they’ve learned about inequalities in math class.

What is the difference between inequality and equation?

1. An equation is a mathematical statement that shows the equal value of two expressions while an inequality is a mathematical statement that shows that an expression is lesser than or more than the other. 2. An equation shows the equality of two variables while an inequality shows the inequality of two variables.

Why do we need to study inequality?

To understand inequality is to understand the modern world and the forces that created it. More to the point, understanding inequality is precondition to overcoming it: that is, to healing the wounds of the past, generating social solidarity and rebuilding a more just society.

What is the similarities and differences in solving between rational equations and inequalities?

The only difference is: If you multiply or divide both sides of an equation by the same negative number, the equation remains the same, but If you multiply or divide both sides of an inequality by the same negative number, the inequality reverses. !!!!!

What is the similarities between rational equation and rational inequalities?

3x>15, you put 3x=5, then x=5, then put the inequality back, ie x>5. The similarities between rational equation and inequalities are they both apply substitution and factoring.

How are equations and inequalities used in the real world?

A system of linear inequalities is often used to determine the best solution to a problem. This solution could be as simple as determining how many of a product should be produced to maximize a profit or as complicated as determining the correct combination of drugs to give a patient.

How are equations and inequalities solved?

Many simple inequalities can be solved by adding, subtracting, multiplying or dividing both sides until you are left with the variable on its own. But these things will change direction of the inequality: Multiplying or dividing both sides by a negative number.