Compound Inequalities

Solve the following compound inequality:

0 < x + 7 < 9

• −7 < x and x < 2

• −7 < x or x < 2

• −7 > x and x > 2

• −7 > x or x > 2

Could x = 3 be solution to the inequality 
6 < x + 5 ≤ 11? 

• Yes 

• No 

Solve and give the final solution set:

-4x + 1 ≤ 21 and 5x + 2 < 22

• All real numbers

• x ≥ -5 and x < 4

• x > 5 and x > 4

• x < 5 and x < 4

Which of the following would result in NO SOLUTION?

• x < 1 or x > 5

• x > 1 or x < 5

• x < 1 and x > 5

• x > 1 and x < 5

Pick the correct letter for:
6 > x

• A

• B

• C

• D

What is the correct graph of the following compound inequality: x<0 AND x<6

• 
• 
• 
• No Solution

Which of the following would result in ALL REAL NUMBERS as the solution set?

• x > 4 or x < 10

• x < 4 or x > 10

• x > 4 and x < 10

• x < 4 and x> 10

Which compound inequality is graphed above?

• -2 ≤ x ≤ 2

• 2 < x < -2

What inequality is graphed?

• x > 2 and x ≤ -3

• x > 2 and x < -3

• x > 2 or x ≤ -3

What inequality is shown?

• -5 ≥ x > 4

• x ≤ -5 OR x > 4

• -5 ≤ x < 4