2-Step Inequalities
Multi-Step Inequalities
Writing Compound Inequalities
Solving Compound Inequalities
Real World Inequalities
100
2x + 4 ≥ 18
X ≥ 7
100
Solve.
6x + 25 > 4x – 17
X > - 21
100
Write a compound inequality for the graph below.
- 5 ≤ x < 8
100
Solve.
x – 1 ≥ 7 or x + 3 < - 1
X ≥ 8 or x < - 4
100
The band is selling bracelets for $4.75 each. How many bracelets can Caitlin buy herself and her friends if she wants to spend no more than $22?
Write an inequality to represent the scenario.
4.75x ≤ 22
200
- x – 3 ≥ 10
X ≤ - 13
200
Solve.
5 – 6x > 4x + 45
X < - 4
200
Write an inequality for the graph below.
X < 15 or x ≥ 19
200
Solve.
- 5 < 3x + 7 < 22
- 4 < x < 5
200
The Print Shop advertises a special to print 400 flyers for less than the competition. The price includes a $3.50 set up fee. If the competition charges $35.50, what does The Print Shop charge per flyer?
Write an inequality to represent the scenario.
3.50 + 400x < 35.50
300
7 – 3x < 37
X > - 10
300
Solve.
3 – 8x > 9 + 2(1 – 5x)
x > 4
300
Write an inequality for the graph below.
8 < x < 10
300
Which graph below represents the solution to the compound inequality shown?
- 2x + 7 ≥ 13 or 5x + 12 > 37
B
300
Benito has $6 to spend on ice cream. A sundae costs $3.25 plus $0.65 per topping. Write and solve an inequality to find the maximum number of toppings he can get on his sundae.
3.25 + 0.65x ≤ 6
Maximum number of toppings is 4.
400
Which graph below represents the
solution to the inequality shown?
- 4x + 9 ≤ 21
A
400
Solve.
3x + 2(4x + 2) ≤ 2(6x + 1) – 5
X ≥ 7
400
Most snakes live where the temperature ranges from 75°F to 90°F inclusive. Write an inequality for the range of temperatures where snakes live.
75 ≤ x ≤ 90
400
Which graph below represents the solution the compound inequality shown?
4 < 3x – 2 ≤ 10
B
400
A high school drama club is performing a musical to benefit a local charity. Tickets are $8. They also received a donation from a sponsor for $200. They want to raise at least $1500. Write and solve an inequality to determine the number of tickets they need to sell to reach their goal.
8x + 200 ≥ 1500
They must sell 163 or more tickets.
500
Which graph below represents the
solution to the inequality shown?
60> 5 + 5x
D
500
Solve
1/2x+2<=3(x+4)
X ≥ - 4
500
The human ear can only detect sounds between the frequencies of 20 Hertz and 20,000 Hertz. Write a compound inequality that describes the frequencies of sound humans CANNOT hear.
X < 20 or x > 20000
500
Solve.
5x – 4 ≥ 6 and 7x + 11 < 32
2 ≤ x < 3
500
Find the largest three consecutive integers whose sum is at most 31.
9, 10, 11