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 inequalities?

Back

The symbol '>' means 'greater than'. For example, x > 3 means x is any number greater than 3.

Front

What does the symbol '<' mean in inequalities?

Back

The symbol '<' means 'less than'. For example, x < 5 means x is any number less than 5.

Front

What does the symbol '≥' mean in inequalities?

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 1 means x is any number greater than or equal to 1.

Front

What does the symbol '≤' mean in inequalities?

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 3x - 2 < 13?

Back

Add 2 to both sides: 3x < 15. Then divide by 3: x < 5.

Front

How do you express the solution of an inequality in set notation?

Back

Set notation for x < 5 is written as {x | x < 5}.

Front

What is the solution to the inequality 2x < -3x + 15?

Back

Add 3x to both sides: 5x < 15. Then divide by 5: x < 3.

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What is the solution to the inequality 2x - 3 < -7?

Back

Add 3 to both sides: 2x < -4. Then divide by 2: x < -2.

Front

What does it mean to graph an inequality?

Back

Graphing an inequality means to represent the solution set on a number line, using an open or closed dot to indicate whether endpoints are included.