Solving and Graphing Compound Inequalities

What are the two types of compound inequalities discussed?

• 'if' and 'then'

• 'equal' and 'unequal'

• 'positive' and 'negative'

• 'and' and 'or'

In an 'and' type inequality, where is the solution set located?

• Between two boundary points

• No solution set

• Outside the boundary points

• At a single point

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

• Ignore the conditions

• Multiply the conditions

• Find values that satisfy at least one condition

• Find values that satisfy both conditions

Which number is a solution to the inequality x > 1 and x < 5?

• 6

• 3

• 1

• 0

Which statement is true about the boundary points in an 'and' type inequality?

• Boundary points are irrelevant

• They are always included in the solution set

• They are never included in the solution set

• They may or may not be included based on the inequality

What does an 'or' type inequality imply about the solution set?

• Solutions are outside the boundaries

• Solutions are at the boundaries only

• There are no solutions

• Solutions are between the boundaries

For the inequality x < -1 or x > 5, which number is a solution?

• 6

• -2

• 5

• 1

What is the correct way to express the solution set for x < -5 or x > 3?

• x > -5 and x < 3

• x < -5 or x > 3

• x < -5 and x > 3

• x > -5 or x < 3

If x is greater than -3 and less than 9, which value of x is NOT a solution?

• 10

• 5

• 0

• -4

What does the solution set of x > -5 and x < 7 look like?

• There is no solution set

• Only the numbers -5 and 7

• All numbers less than -5 or greater than 7

• All numbers between -5 and 7, not including -5 and 7