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. d < 6
(-∞,6)
-6 < v < 6
-8 < c + 5 < -1
-13 < c < -6
In general, people drive from 16 years old to 88 years old.
x ≥ 16 and x ≤ 88
16 ≤ x ≤ 88
[16, 88]
Solve the following inequality. 2w / -3 > 4
w < -6
Graph the following inequality on a number line. w ≥ -2
[-2, ∞)
|n| - 3 > -2
n > 1 or n < -1
a + 8 > -2 or -3a > -9
a > -10 or a < 3
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]
[0, 1650]
Solve the following inequality. -3(s - 2) - 3 ≤ 30
s ≥ -9
x ≥ 12 or x < -6
(-∞, -6) or [12, ∞)
|b - 8| + 10 > 22
b > 20 or b < -4
12 ≤ 4n < 28
3 ≤ n < 7
Jake has test scores of 65, 78, 88, and 80. He wants to know what score he will have to make on his 5th test in order to have at least a B average.
(65 + 78 + 88 + 80 + x)/5 ≥ 80
[(65 + 78 + 88 + 80 + s)/ 5] ≥ 80
[(311 + s)/ 5] ≥ 80
s ≥ 89
[89, ∞)
Solve the following inequality. 2w - 6 ≤ 18 + 2(w - 3)
Infinite Solutions -6 ≤ 12
x > -12 and x ≤ 20
(-12, 20]
-3 + |n - 2| > -2
|n - 2| > -2
Infinite Solutions
2s + 3 ≥ 7 or 3s + 5 < 26
Infinite Solutions
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.
1.75 + 0.65m ≤ 10
m ≤ 12.692...
(-∞, 12.692...)
[0, 12.692...]
Solve the following inequality. -2(3d + 4) > 8 - 6d
No Solution -8 > 8
Graph the following compound inequality. 8 ≤ s < 30
[8, 30)
[|2 + 3x|/-2] > 5
|2 + 3x| < -10
No Solution
-2> (3b+8)/2>13
No Solution