Solving Inequalities

Front

What does the symbol '<' represent in inequalities?

Back

less than

Front

What does the symbol '>' represent in inequalities?

Back

greater than

Front

What does the symbol '≤' represent in inequalities?

Back

less than or equal to

Front

What does the symbol '≥' represent in inequalities?

Back

greater than or equal to

Front

What is the difference between an open dot and a closed dot on a number line when graphing inequalities?

Back

An open dot indicates that the number is not included (using < or >), while a closed dot indicates that the number is included (using ≤ or ≥).

Front

How do you graph the inequality x < 3 on a number line?

Back

Draw a number line, place an open dot at 3, and shade to the left.

Front

How do you graph the inequality x ≥ -2 on a number line?

Back

Draw a number line, place a closed dot at -2, and shade to the right.

Front

What is the solution set for the inequality x > 5?

Back

All real numbers greater than 5.

Front

What is the solution set for the inequality x ≤ 4?

Back

All real numbers less than or equal to 4.

Front

What is the meaning of the term 'compound inequality'?

Back

An inequality that combines two or more inequalities, often using 'and' or 'or'.