8.8A, 8.8B, 8.8C Equations and Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, greater than or equal to, or less than or equal to the other.

Front

What does it mean to solve an inequality?

Back

To solve an inequality means to find all values of the variable that make the inequality true.

Front

What is the difference between an equation and an inequality?

Back

An equation states that two expressions are equal, while an inequality shows that one expression is greater than or less than another.

Front

How do you graph an inequality on a number line?

Back

To graph an inequality, use an open circle for < or > and a closed circle for ≤ or ≥, then shade the region that represents the solution set.

Front

What is the solution set of an inequality?

Back

The solution set of an inequality is the set of all values that satisfy the inequality.

Front

What does it mean to isolate a variable in an inequality?

Back

Isolating a variable means to manipulate the inequality so that the variable is on one side and all other terms are on the other side.

Front

What is a compound inequality?

Back

A compound inequality consists of two or more inequalities joined by 'and' or 'or'.

Front

How do you solve a compound inequality?

Back

To solve a compound inequality, solve each inequality separately and then combine the solutions.

Front

What is the transitive property of inequalities?

Back

The transitive property states that if a < b and b < c, then a < c.

Front

What is the addition property of inequalities?

Back

The addition property states that if you add the same number to both sides of an inequality, the inequality remains true.