Solving Inequalities

Front

What is an inequality?

Back

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

Front

What does the symbol '>' mean in an inequality?

Back

The symbol '>' means 'greater than'.

Front

What does the symbol '<' mean in an inequality?

Back

The symbol '<' means 'less than'.

Front

What does the symbol '≥' mean in an inequality?

Back

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

Front

What does the symbol '≤' mean in an inequality?

Back

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

Front

How do you solve the inequality 4x + 1 > 13?

Back

Subtract 1 from both sides: 4x > 12. Then divide by 4: x > 3.

Front

What does a closed circle mean when graphing an inequality?

Back

A closed circle means the number is included in the solution set.

Front

What does an open circle mean when graphing an inequality?

Back

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

Front

How do you solve the inequality 7(x + 3) < 5x + 13?

Back

Distribute: 7x + 21 < 5x + 13. Subtract 5x from both sides: 2x + 21 < 13. Subtract 21: 2x < -8. Divide by 2: x < -4.

Front

What inequality does the number line graph with a closed circle at -5 represent?

Back

x ≥ -5.