Solving Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality symbols (like <, >, ≤, ≥) to show that one expression is not equal to the other.

Front

What does it mean to flip the inequality sign?

Back

Flipping the inequality sign occurs when you multiply or divide both sides of an inequality by a negative number.

Front

What is the solution to the inequality -3x + 2 ≤ 22?

Back

x ≥ -10.

Front

What does a closed circle mean when graphing an inequality?

Back

A closed circle indicates that the number is included in the solution set.

Front

What does an open circle mean when graphing an inequality?

Back

An open circle indicates that the number is not included in the solution set.

Front

How do you solve the inequality x + 5 ≤ 13?

Back

Subtract 5 from both sides to get x ≤ 8.

Front

What is the first step in solving the inequality -4x + 14 ≤ 54?

Back

Subtract 14 from both sides to get -4x ≤ 40.

Front

What is the solution to the inequality 28 + 2x > 50?

Back

x > 11.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'.