Solving 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 the symbol '>' mean in an inequality?

Back

The symbol '>' means 'greater than'. For example, x > 5 means x is any number greater than 5.

Front

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

Back

The symbol '<' means 'less than'. For example, x < 3 means x is any number less than 3.

Front

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

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 4 means x is any number greater than or equal to 4.

Front

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

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 2 means x is any number less than or equal to 2.

Front

How do you solve the inequality y - 10 > 14?

Back

Add 10 to both sides: y > 24.

Front

When graphing an inequality, what does a closed dot represent?

Back

A closed dot represents that the number is included in the solution set, used for ≤ or ≥.

Front

When graphing an inequality, what does an open dot represent?

Back

An open dot represents that the number is not included in the solution set, used for < or >.

Front

How do you solve the inequality y + 7 ≥ 12?

Back

Subtract 7 from both sides: y ≥ 5.

Front

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

Back

Subtract 5 from both sides: x ≤ 8.