Compound Inequalities

Front

What is a compound inequality?

Back

A compound inequality is an inequality that combines two or more inequalities using the words 'and' or 'or'.

Front

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

Back

The symbol '≤' means 'less than or equal to'.

Front

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

Back

The symbol '≥' means 'greater than or equal to'.

Front

When solving compound inequalities with 'and', what must be true about the solution set?

Back

The solution set must satisfy both inequalities simultaneously.

Front

When solving compound inequalities with 'or', what must be true about the solution set?

Back

The solution set can satisfy either one of the inequalities.

Front

How do you represent the solution set of an inequality on a number line?

Back

You represent the solution set by shading the region of the number line that satisfies the inequality and using dots to indicate whether endpoints are included or excluded.

Front

What is the solution set for the compound inequality -4x + 1 ≤ 21 and 5x + 2 < 22?

Back

The solution set is x ≥ -5 and x < 4.

Front

What is the solution set for the compound inequality 2x + 1 > 9 or x - 4 < 6?

Back

The solution set is all real numbers.

Front

What type of dot is used on a number line for inequalities with '≤' or '≥'?

Back

A closed dot is used for inequalities with '≤' or '≥'.

Front

What type of dot is used on a number line for inequalities with '<' or '>'?

Back

An open dot is used for inequalities with '<' or '>'.