Solving Compound Inequalities: Graphing and Writing Techniques

What does a compound inequality involve?

• Solving quadratic equations

• Combining two inequalities using 'and' or 'or'

• Graphing functions only

• Combining two equations

What does the intersection of graphs in 'and' compound inequalities represent?

• Values satisfying at least one inequality

• Values satisfying neither inequality

• Values satisfying both inequalities

• None of the above

When graphing 'and' compound inequalities, what type of circle is used at the boundary values?

• Solid circle

• Open circle

• No circle is used

• Dotted circle

Which type of compound inequality uses the intersection of solution sets?

• Neither

• 'And' inequalities

• 'Or' inequalities

• Both types

In 'or' compound inequalities, what does the union of solution sets represent?

• Solutions that are undefined

• Solutions satisfying neither inequality

• Solutions satisfying at least one of the inequalities

• Solutions satisfying both inequalities

What symbol is used to denote the union in compound inequalities?

• A plus sign (+)

• An intersection symbol (∩)

• A division symbol (÷)

• A union symbol (∪)

How do you solve an 'and' compound inequality involving a variable?

• Isolate the variable in one inequality only

• Combine the inequalities without isolating variables

• Isolate the variable in each inequality separately

• None of the above

What must be done when dividing by a negative number while solving inequalities?

• Multiply both sides

• Flip the inequality symbol

• Subtract from both sides

• Add to both sides

What is the correct graph representation for an 'or' compound inequality?

• Disjoint sets only

• Union of solution sets

• Continuous line graphs

• Intersection of solution sets

What is the first step in solving 'or' compound inequalities?

• Graph the inequalities

• Combine the inequalities

• None of the above

• Solve each inequality separately