Solving Compound Inequalities- WMS

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 that uses 'or'?

Back

To solve a compound inequality that uses 'or', solve each inequality separately and combine the solutions.

Front

What does it mean if a compound inequality has a solution of 'all real numbers'?

Back

It means that any real number satisfies the inequality.

Front

How do you graph a compound inequality that uses 'or'?

Back

Graph each inequality separately and shade the regions that satisfy either inequality.

Front

What is the solution set for the inequality 6 < x + 5 ≤ 11?

Back

The solution set is the interval (1, 6].

Front

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

Back

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

Front

What is the solution to the inequality 3x + 2 < -4?

Back

The solution is x < -2.

Front

How do you determine if a specific value is a solution to a compound inequality?

Back

Substitute the value into the compound inequality and check if the resulting statement is true.

Front

What is the graphical representation of the inequality x > 2?

Back

It is represented by an open circle at 2 and a line extending to the right.

Front

What does the solution x ≤ -3 represent graphically?

Back

It is represented by a closed circle at -3 and a line extending to the left.