Solving Simple & Compound Inequalities

0 < x + 7 < 9

• -7<x   and   x<2
• -7<x   or   x<2
• -7>x   and   x>2
• -7>x  or   x>2

3x-4< -13 or 7x+1> 22

• All Real numbers
•   x>3   and x>-9
• The answer is not listed
• x<-3   or x>3

Write an inequality for Graph 2.

• -2 ≤ x < 5
• x ≤ -2 AND x > 5
• x ≥ -2 OR x < 5
• -2 ≤ x ≤ 5

Write an inequality for Graph 3.

• x ≤ -2 AND x > 5
• x ≤ -2 OR x > 5
• x ≥ -2 OR x < 5
• -2 ≤ x < 5

Four times a number, increased by 6 is greater than 22.  Which inequality models this scenario?

• 4x - 6 > 22
• 4x + 6 < 22
• 4x + 6 ≥ 22
• 4x + 6 > 22

What is the smallest integer that satisfies the inequality :

-4x + 14 < 54

• -9

• -10

• -11

• -12

Monica earns $363 a week. Rachel works for $8.25 an hour.Which inequality represents how many hours must Rachel work to make as much as or more than Monica?

• 363≥8.25h
• 363<8.25h
• 363≤8.25h
• 363>8.25h

Solve and graph the inequality.

• A

• B

• C

• D

Could x = - 5 be a solution to the inequality -6 < 3x + 9 < 21? 

• yes
• no 

Solve the following compound inequality:

−8 < 2(x + 4) or −3x + 4 > x − 4

• No solutions

• x < −8 or x < 2

• x > −8 or x < 2

• x < −8 and x < 2