A 5.2 (P2)

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, or not equal to the other. Common symbols include >, <, ≥, and ≤.

Front

What does the symbol '>' represent in inequalities?

Back

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

Front

What does the symbol '<' represent in inequalities?

Back

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

Front

What does the symbol '≥' represent in inequalities?

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 '≤' represent 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 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 to indicate all numbers greater than 3.

Front

How do you graph the inequality x ≤ -2?

Back

To graph x ≤ -2, draw a number line, place a closed circle at -2, and shade to the left to indicate all numbers less than or equal to -2.

Front

What is the solution to the inequality 5x - 4 > 21?

Back

To solve 5x - 4 > 21, add 4 to both sides to get 5x > 25, then divide by 5 to find x > 5.

Front

What is the solution to the inequality 4x - 2 ≤ -22?

Back

To solve 4x - 2 ≤ -22, add 2 to both sides to get 4x ≤ -20, then divide by 4 to find x ≤ -5.

Front

What is the difference between a closed circle and an open circle on a number line?

Back

A closed circle indicates that the number is included in the solution (≤ or ≥), while an open circle indicates that the number is not included ( < or >).