Applications & Interval Notation
There are at most 20 pepperonis on a large Papa John's pizza.
p ≤ 20
(-∞, 20)
[0, 20]
Solve the following inequality. w + 3 > 2
w > -1
Graph the following inequality on a number line and what is the interval notation from the graph. d < 6
(-∞,6)
solve the inequality: 5v + 1 > 7v - 17
v < 9
-8 < c + 5 < -1
-13 < c < -6
James gave no more than 24 cupcakes out to his classmates for his birthday. Write and graph an inequality to represent the situation.
c < 24 or 24 > c
Closed circle on 24
Arrow goes left
Solve the following inequality. 2w / -3 > 4
w < -6
Graph the following inequality on a number line and what is the interval notation from the graph. w ≥ -2
[-2, ∞)
Solve. 13 + 4c > 3(c + 13)
**DAILY DOUBLE**
What is c > 26
a + 8 > -2 or -3a > -9
a > -10 or a < 3
In general, people drive from 16 years old to 88 years old. Write a compound inequality for this scenario
x ≥ 16 and x ≤ 88
16 ≤ x ≤ 88
[16, 88]
Solve the following inequality. -3(s - 2) - 3 ≤ 30
s ≥ -9
x ≥ 12 or x < -6
**DAILY DOUBLE**
(-∞, -6) or [12, ∞)
Solve. 2(-a - 8) - 15 < 9
What is a > -20?
12 ≤ 4n < 28
3 ≤ n < 7
An elevator can hold a maximum of 2000 lbs. There are already 350lbs on the elevator. How many more pounds can it hold?
- Use, 350 + x ≤ 2000 to solve the problem above.
350 + p ≤ 2000
p ≤ 1650 lbs
(-∞, 1650]
Solve the following inequality. 2w - 6 ≤ 18 + 2(w - 3)
**DAILY DOUBLE**
Infinite Solutions -6 ≤ 12
What is the interval notation of : x > -12 and x ≤ 20
(-12, 20]
Solve and put the solution in interval notation.
1 < 7 + 2x < 9
What is [-3, 1]?
Write the compound inequality with the variable in the middle for that graph that has open circles at -2 and 4 connecting the two dots
-2 < x < 4
Yellow Cab Taxi charges a $1.75 flat rate in addition to $0.65 per mile. Katie has no more than $10 to spend on a ride.
**DAILY DOUBLE**
1.75 + 0.65m ≤ 10
m ≤ 12.69
(-∞, 12.692)
Solve the following inequality. -2(3d + 4) > 8 - 6d
No Solution -8 > 8
Graph the following compound inequality and what is the interval notation from the graph. 8 ≤ s < 30
[8, 30)
3(8x - 9) > 4(6x + 1)
no solution
3(2x + 1) < 21 AND x + 3x + 4(2) < 32
write the answer in interval notation
**DAILY DOUBLE**
(3,6)