Solving Inequalities
Multi-step Inequalities
Compound Inequalities
Absolute Value Functions
Absolute Value Equations & Inequalities
100
Solve y - 6 ≤ 5
y ≤ 11
100
Solve 2x + 7 ≥ 11
x ≥ 2
100
What two words illustrate compound inequalities?
And, Or
100
What is the domain of an absolute value function?
All real numbers
100
Solve |8 - x| = 21
x = -13 or x = 29
200
Describe the graph of x ≥ -10.
Closed circle at -10 and shade to the right.
200
Solve 4m + 2 < 7m -7
m > 3
200
Graph -2 ≤ y ≤ 4
Closed circle at -2 and 4, shade in between the two numbers
200
What is the range of y = |x|?
y ≥ 0
200
Solve |3x + 2| = 4
x = 2/3 or x = -2
300
Solve p/-5 < 7
p > -35
300
Solve 7m - 2(m-1) > -48
m >-10
300
Graph x < 5 Or x ≥ 7
Open circle at 5, shade left; Closed circle at 7, shade right
300
What is the range of y = -|x + 5|?
y ≤ 0
300
Solve |x -3| ≤ 1
2 ≤ x ≤ 4
400
Solve 17 > b + 22
b < -5
400
Solve p/7 - 1/14 ≤ 1/2
p ≤ 4
400
Solve -3 ≤ 2x + 15 < 21
-9 ≤ x < 3
400
What is the range of y = 3|x| - 10?
y ≥ -10
400
Solve and graph |2m + 4| ≥ 6
m ≤ -5 or m ≥ 1 closed circle at -5, shade left closed circle at 1, shade right
500
Solve X - 7/4 ≤ 3/4
x ≤ 5/2 or x ≤ 2 1/2
500
Solve and graph 2x – 6 ≤ 4(x + 3)
x ≥ -9; closed circle at -9, shade to the right
500
Solve and graph -14 < 2x – 6 ≤ 12
-4 < x ≤ 9; open circle at -4, closed circle at 9, shade in between
500
What is the range of y = -|x – 4| + 7?
y ≤ 7
500
Solve and graph |7x - 14| < 7
1 < x < 3 Open circle at 1 and 3; shade in between
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