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Solving Inequalities by Adding, Subtracting, Multiplying, or Dividing
Solving 2-Step, Multi-step, or Inequalities w/ Variables on Both Sides.
Solving Compound Inequalities
Solving Absolute-Value Inequalities
Writing and Solving Inequalities from Real Life.
100
-1 < m + 4
What is m > -5 ?
100
3x + 4 < 19
What is x < 5 ?
100
-4 < t + 6 < 10
What is -10 < t < 4 ?
100
l x l < 12
What is -12 < x < 12?
100
The temperature must be at least 72 ℉.
What is t ≥ 72?
200
h - ¼ < ¾
What is h < 1 ?
200
m + 3 ——— > -4 2
What is m > -11 ?
200
-8 < k - 2 ≤ 5
What is -6 < k ≤ 7 ?
200
l x l - 7 ≤ 15
What is -22 ≤ x ≤ 22 ?
200
No more than 12 students were present.
What is s ≤ 12?
300
-3 > ⅓ r
What is r < -9 ?
300
-4 (2 - 5) > (-3)² - h
What is h > -3 ?
300
-3 + r > 4 or r + 1 < -1
What is r > 7 or r < -2 ?
300
l x + 4 l > 8
What is x < -12 or x > 4 ?
300
Carl's Cable Company charges $55 for monthly service plus $4 for each pay-per-view movie. Teleview Cable Company charges $110 per month with no fee for movies. For what # of movies is the cost of Carl's Cable less than the cost of Teleview?
What is 55 + 4m < 110? m < 13.75 or 13 0-13 movies is how much they could watch. No negatives or partial movies.
400
g 一 > 6 -2
What is g < -12 ?
400
-3 ( 2 - q ) ≥ 6 ( q + 1 )
What is q ≤ -4 ?
400
2 > n + 3 > 5
What is no solution ?
400
4 l 2x l < 24
What is -3 < x < 3?
400
One day the temperature was 84 ℉ and the low was 68 ℉. Write a compound inequality to represent the day's temperature.
What is 68 ≤ t ≤ 84?
500
- 0.4 g ≥ -1
What is g ≤ 2.5 ?
500
3.5t - 1.8 < 1.6t + 3.9
What is t < 3 ?
500
5 ≤ 4b - 3 ≤ 9
What is 2 ≤ b ≤ 3 ?
500
l x - ½ l + 4 ≤ 5⁄2
What is no solution?
500
The water depth for a pool is set to 6 ft, but the actual depth of the pool may vary by as much as 4 in. Write and solve an absolute-value inequality to find the range of possible water depths in inches.
What is l d - 72 l ≤ 4? 68 ≤ d ≤ 76