Solving Compound Inequalities

Front

What is a compound inequality?

Back

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

Front

How do you solve a compound inequality with 'and'?

Back

To solve a compound inequality with 'and', find the intersection of the solution sets of the individual inequalities.

Front

How do you solve a compound inequality with 'or'?

Back

To solve a compound inequality with 'or', find the union of the solution sets of the individual inequalities.

Front

What does the symbol '<' mean in inequalities?

Back

The symbol '<' means 'less than'.

Front

What does the symbol '>' mean in inequalities?

Back

The symbol '>' means 'greater than'.

Front

What does the symbol '≤' mean in inequalities?

Back

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

Front

What does the symbol '≥' mean in inequalities?

Back

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

Front

How do you graph a compound inequality?

Back

To graph a compound inequality, shade the regions that satisfy the inequalities on a number line.

Front

Can x = 3 be a solution to the inequality 6 < x + 5 ≤ 11?

Back

Yes, x = 3 is a solution because it satisfies both parts of the inequality.

Front

Can x = -5 be a solution to the inequality -6 < 3x + 9 < 21?

Back

No, x = -5 does not satisfy the inequality.