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Addition and Subtraction
Multiplication and Division
Compound Inequalities
Absolute Value
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100
x - 7 > 3
{x|x>10}
100
t/-2 > 4
{t|t < -8}
100
5t + 8 < or = 3t - 3
{t|t < or = -5.5}
100
Graph the solution set: |x - 2| > or = 3
Filled in circle over -1, pointing to the left, filled in circle over 5, pointing to the right.
100
Graph y < or = 3x
line, m = 3, goes through (0,0), right half is shaded.
200
- 13 > w + 12
{w|w < -25}
200
-3.5z < 42
{z|z > -12}
200
1.9 + 1.7x < 2.1(3 + x)
{x|x > -11}
200
What is the solution set of |2x - 3| > 4?
{x|x < -0.5 or x > 3.5}
200
Use a graph to solve 2y - 4x < 8
dotted line, y = 2x + 4, y intercept is 4, x intercept is -2, shaded on right side.
300
The sum of two consecutive integers is at most 7. What is the largest possible value for the lesser integer?
3
300
Pete's grade on a test was within 5 points of his class average of 94. What is his range of grades on the test?
89 < or = g < or = 99
300
3(-w - 6) < 2(2w + 8) + 1
{w|w > -5}
300
Solve and Graph: |2x - 5| < 3
{x|1< x < 4}
300
What inequality has the solution set shown in the graph? (show Chapter 5 Test, form 2D, problem 19)
2x - y < or = 1
400
The sum of two consecutive integers is at most 3. What is the greatest possible value for the greater integer?
2
400
b/8 > -1/5
{b|b > -1 3/5}
400
Solve AND graph the solution set: w/3 < 1 OR 3w + 5 > 11
{w|w is a real number} Graph of a line showing all real numbers.
400
Solve and Graph: |z + 4| > or = 7
{z|z < or = -11 OR z > or = 3} filled in circle over -11, pointing left, filled in circle over 3, pointing right.
400
Which of the ordered pairs are a part of the solution of: y + 1 > 1/2x +3 f. (2, 3) g. (-4, 0) h. (1, 2) j (-3, 1)
j. (-3, 1)
500
You and your friend are planning to walk across an old bridge that can hold at most 1000 pounds. The total weight of the people currently on the bridge is 675 pounds. You weigh 156 pounds. Write and solve an inequality that represents how much your friend can weigh within the limits of the bridge.
x < 169
500
-3m < -18
{m|m > 6}
500
2 + 3x > 8 OR 4 - 7x < or = -17
{x|x > 2} open circle over 2 on the number line, arrow pointing to the right (increasing positive numbers)
500
5|-p+2| + 4 > 4
All real numbers
500
Laurie and Maya sold at most $50 worth of get-well friendship cards. The friendship cards, x, were sold for $2 each and the get - well cards, y, were sold for $1.50 each. Which point represents a reasonable number of cards sold? f. (20, 10) g. (15, 10) h. (18, 20) j. (10, 30)
g. (15, 10)