Solving and Graphing Inequalities

Solve:

3(x - 2) - 2x < 18

• x<24

• x>12

• x<12

• x>24

Ross and Chandler go to Taco Land and order sodas for a total of $3.50. They also want to order some tacos (of course), which cost $1.75 each. If they have $20, how many tacos can they buy? Which inequality best represents the situation.

• 3.50 + 1.75t > 20

• 1.75 + 3.50t ≤ 20

• 3.50 + 1.75t ≥ 20

• 1.75t + 3.50 ≤ 20

Twice a certain number, increased by 5, is less than three times the same number.

• 2x + 5 > 3x

• 2x + 5 < 3x

• 2x + 5 ≤ 3x

• 2x + 5 ≥ 3x

Solve and graph the inequality.

• A

• B

• C

• D

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

• ≤, ≥ 

• <, >

Write an expression. 
Anita needs at least an 90 grade (g) on her test to get an A in math class.

• g ≤ 90

• g ≥ 90

• g < 90

• g > 90

Is x = 9 a solution to the given inequality.
x > 9

• TRUE

• FALSE

Is x = 12 a given solution to the inequality.
x > 5

• TRUE

• FALSE

What are two solutions to x < 8?

• 8.6, 7.9

• 11, 16

• 0.8, 5.9

• 12, 7.1

What inequality does the number line graph represent?

• x + 4 ≤ -1

• 2x - 3 < 7

• x - 1 ≤ 4

• 2x + 3 >13