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

What does the symbol '<' represent?

Back

The symbol '<' means 'less than'.

Front

What does the symbol '>' represent?

Back

The symbol '>' means 'greater than'.

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 is the solution set for the inequality -13 < 2x + 5 < 15?

Back

The solution set is -9 < x < 5.

Front

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

Back

The solution set is x ≥ -5 and x < 4.

Front

What does the inequality -3 ≤ 2x - 1 ≤ 5 represent?

Back

It represents a range of values for x, specifically -1 ≤ x ≤ 3.

Front

What is the graphical representation of the inequality 2 ≤ x ≤ 4?

Back

The graph includes all points between 2 and 4, including the endpoints.

Front

What is the difference between 'and' and 'or' in compound inequalities?

Back

'And' requires both conditions to be true, while 'or' requires at least one condition to be true.