Inequalities

Which one represents "Greater Than"

• <
• >

-2(x + 2) < 14

• x < - 5
• x > -5
• x < -9
• x > -9

54x + 64 ≥ 49x + 59

• x ≥ −1
• x ≤ -1
• x > 9
• x < -3

Solve the inequality.
x + 5 ≤ 13

• x ≥ 8
• x ≥ 18
• x ≤ 8 
• x ≤ 18 

In words
x > 5

• x is greater than 5
• x is less than 5
• x is zero
• x is at least 5

Which symbol represents "Less Than

• >
• <

Sophia can spend at most $50 on clothes. She bought a hat for $18. How many pairs of socks can she buy if they cost $4 per pair? Which inequality represents this situation.

• x ≥ 14
• x < 14
• x ≤ 8
• x ≥ 8

Thomas needs at least $250 to buy an Xbox one on Black Friday. He has $315 in his bank account, but spends $5 per day for coffee. Write and solve an inequality to determine when Thomas will have enough money to buy the system.

• d ≥ 13
• d ≤ -13
• d < 13
• d ≤ 13

3b + 4 ≤ 7

• b ≥ 1
• b ≤ -1
• b ≥ -1
• b ≤ 1

Simplify by adding 18:
4y - 6 > -18 - 8y

• 4y - 24 > - 8y
• 4y + 12 > - 8y
• 22y - 24 > -8y
• 22y + 12 > -8y