Algebra 1 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 inequality n ≥ 17 represent?

Back

It represents that the number n is greater than or equal to 17.

Front

How do you graph the inequality x > 2?

Back

Draw a number line, place an open circle at 2, and shade to the right.

Front

What does the solution x < -5 or x > 5 mean?

Back

It means that x can be any number less than -5 or any number greater than 5.

Front

What is the solution to the compound inequality -6 < 2t - 5 < 3?

Back

The solution is -0.5 < t < 4.

Front

What does the inequality x ≤ -2 OR x > 5 indicate?

Back

It indicates that x can be any number less than or equal to -2 or any number greater than 5.

Front

How do you write the inequality for 'A number n is at least 17'?

Back

The inequality is n ≥ 17.

Front

What is the graphical representation of x > 2 and x ≤ -3?

Back

It shows an open circle at 2 with shading to the right, and a closed circle at -3 with shading to the left.