Solving and Graphing Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols such as <, >, ≤, or ≥.

Front

How do you solve the inequality w - 8 < 41?

Back

Add 8 to both sides: w < 49.

Front

What does a closed circle represent on a graph of an inequality?

Back

A closed circle indicates that the number is included in the solution set (e.g., ≤ or ≥).

Front

What does an open circle represent on a graph of an inequality?

Back

An open circle indicates that the number is not included in the solution set (e.g., < or >).

Front

When do you flip the inequality symbol?

Back

You flip the inequality symbol when you multiply or divide both sides by a negative number.

Front

Solve the inequality -26 ≥ b. What is the solution?

Back

b ≤ -26.

Front

What is the solution set for the inequality -4x + 1 ≤ 21?

Back

x ≥ -5.

Front

What is the solution set for the inequality 5x + 2 < 22?

Back

x < 4.

Front

How do you graph the inequality b ≤ 6?

Back

Use a closed circle at 6 and shade to the left.

Front

What is the difference between ≤ and < in inequalities?

Back

≤ includes the number, while < does not.