Solve Advanced Linear Inequalities

Does the sign need to flip when solving?
-2x ≥ 22

• YES
• NO

The 30 members of a choir are trying to raise at least $1,500 to cover travel costs to a singing camp. They have already raised $600. Which inequality could you solve to find the average amounts each member can raise that will at least meet the goal?

• 30x + 600 > 1,500
• 30x + 600 ≥ 1,500
• 30x + 600 < 1,500
• 30x + 600 < 1,500

A taxi cab costs $1.75 and $0.75 for each additional mile. You have $20 to spend on you ride. Which inequality could be solved to find how many miles you can travel, if m is the number of additional miles?

• 1.75m + 0.75 ≥ 20

• 1.75m + 0.75 ≤ 20

• 0.75m + 1.75 ≥ 20

• 0.75m + 1.75 ≤ 20

When you graph an inequality, you used a closed dot when you use which symbols?

• ≤, ≥ 
• <, >

When graphing an inequality, you use an open dot when you use which symbol?

• <, >
• ≤, ≥ 

-4x + 14 ≤ 54

• x ≥ -10
• x ≤ -10
• x ≥ 10
• x ≤ 10

Do I need to flip my sign?

3x ≥ -12

• Yes

• No

Solve:
3(x - 2) < 2(x + 9)

• x<24
• x>12
• x<12
• x>24

You want to spend at most $1200 on a new laptop.  If you make a $400 down payment, then pay the same amount every month for 12 months.  Which Inequality could be use to solve to find out how much you can pay each month.

• 12x + 1200 > 400
• 12x + 400 < 1200
• 12x + 400 > 1200
• 12x + 400 < 1200

Solve the double inequality:

-50 < 7k + 6 < -8

• -8 < k < -2

• 2 < k < 8

• -2 < k < 8

• -8 < k < 2