Solving Linear Inequalities

Tickets for lower deck seats cost $42 each and tickets for upper deck seats cost $30 each. Which inequality represents the combinations of x, the number of tickets for the lower deck, and y, the number of tickets for the upper deck, that someone can buy for no more than $800?

A customer is ordering hats and shirts from an online store. Each hat costs $7 and each shirt costs $10. The customer has up to $100 to spend. Write an inequality to represent the possible combinations of hats, x, and shirts, y, in an order that the customer can afford. Move the correct answer to each box.

• 7

• 10

• 100

• 17

Solve:
7(x + 3) < 5x + 13

• x>-4

• x < 17

• x<-4

• x > -17

Solve:

5(v + 3) - 10v > -10

• v < 5

• v > 5

• v > -5

• v < -5

solve 5( 6 + 3r) + 7 ≥ 127

• r ≤ 6

• r ≥ 6

• r ≤ -6

• r ≥ -6

Solve and graph the inequality.
77 ≤ 5 + 8n

• A

• B

• C

• D

-13t > 26

• t > -2

• t > 2

• t < 2

• t < -2

What inequality does the number line graph represent?

• x <= 4

• x>= -4

• x < -4

• x < 4

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

• x<24

• x>-24

• x<12

• x>18

Solve:
6x+10>5x-12

• x>2

• x<2

• x<-22

• x>-22