Inequalities

Front

What is an inequality?

Back

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

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 happens to the inequality sign when you multiply or divide by a negative number?

Back

The inequality sign flips when you multiply or divide both sides of the inequality by a negative number.

Front

Solve the inequality: -2x ≥ 22

Back

x ≤ -11.

Front

Solve the inequality: -8x < 48

Back

x > -6.

Front

What does the inequality 6 > x mean?

Back

It means that x is less than 6.

Front

Solve the inequality: 4x + 1 > 13

Back

x > 3.

Front

Solve the inequality: 15 + 7x ≥ 29

Back

x ≥ 2.

Front

What is the solution set of the inequality x < 5?

Back

The solution set includes all real numbers less than 5.

Front

What does the symbol '≥' represent?

Back

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