Inequalities Pre-Flashcard Review

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'. For example, x > 3 means x is greater than 3.

Front

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

Back

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

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 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 less than or equal to 2.

Front

How do you graph the inequality x > 3?

Back

To graph x > 3, draw a number line, place an open circle at 3, and shade to the right.

Front

How do you graph the inequality x ≤ 4?

Back

To graph x ≤ 4, draw a number line, place a closed circle at 4, and shade to the left.

Front

What is the solution to the inequality 2x < 10?

Back

The solution is x < 5.

Front

What is the solution to the inequality 3x + 2 > 11?

Back

The solution is x > 3.

Front

What does it mean for an inequality to be 'not equal to'?

Back

'Not equal to' is represented by the symbol '≠' and indicates that two expressions do not have the same value.