Graphing and Solving Compound Inequalities

What does the term 'compound' mean in compound inequalities?

• To subtract

• To separate

• To combine

• To multiply

If a person is 7 years old, what is the price of their ticket according to the given example?

• $12

• $10

• $6

• $0

How would you write the inequality for a free ticket if the age is 56 or older?

• x ≤ 56

• x ≥ 56

• x > 56

• x < 56

How do you graph the inequality x > 32 on a number line?

• Draw a filled circle at 32 and shade to the right

• Draw a circle at 32 and shade to the left

• Draw a filled circle at 32 and shade to the left

• Draw a circle at 32 and shade to the right

What is the combined inequality for x > 32 and x ≤ 80?

• x < 32 and x > 80

• 32 < x ≤ 80

• x ≤ 32 or x > 80

• 32 ≤ x < 80

How do you solve the compound inequality 12 > x - 3 > 5?

• Multiply all parts by 3

• Add 3 to all parts

• Subtract 3 from all parts

• Divide all parts by 3

What is the solution to the inequality 2x ≤ 4?

• x > 2

• x < 2

• x ≥ 2

• x ≤ 2

How do you handle the inequality when dividing by a negative number?

• Add a positive number

• Subtract a positive number

• Reverse the inequality sign

• Keep the inequality sign the same

What is the combined inequality for x ≤ 2 or x > 4?

• x < 2 or x ≥ 4

• x ≤ 2 or x > 4

• x ≤ 2 and x > 4

• x < 2 and x ≥ 4

What is the inequality for temperatures that are uncomfortable if cooler than 55° or warmer than 90°?

• x < 55 and x > 90

• x ≤ 55 or x ≥ 90

• x < 55 or x > 90

• x ≤ 55 and x ≥ 90