Is this an open or closed interval?
Is this an open or closed interval?
Reasoning: Explain why the absolute value equation |3x| + 8 = 5 has no solution.
Compare and Contrast: Explain the similarities and differences in solving the equation |x - 1| = 2 with solving the inequalities |x - 1| ≤ 2 and |x - 1| ≥ 2.
Compare these two inequalities. (How are they alike?)
Contrast these two inequalities. (How are they different?)
Is this an open or closed interval?
Is this an open or closed interval?
Is this an open or closed interval?
Is this an open or closed interval?
Use interval notation to describe the range of this function.
Use interval notation to describe the domain of this function.
Write the following in interval notation.
Write the following in interval notatin.
Match each inequality, absolute value, and interval notation with the correct graph. (Not every choice will be used)
(-2,2)
|x|<2
|x|≤2
x<-2 or x>2
-2≤x≤2
|x|≥2
-2<x<2
|x|>2
(-∞,-2)∪(2,∞)
Match each inequality, absolute value, and interval notation with the correct graph. (Not every choice will be used)
|x|<4
[-3,13]
|x|>4
(-3,13)
x<-4 or x>4
-3≤x≤13
x≤-4 or x≥4
|x-5|<8
(-∞,-4)∪(4,∞)
Match each inequality, absolute value, and interval notation with the correct graph. (Not every choice will be used)
|x-2.5|<1.5
(1,4]
1>x≤4
1<x≤4
x<1 or x≥4
x<3 or x>5
3<x<5
|x-4|>1
(-∞,3)∪(5,∞)
Match each inequality, absolute value, and interval notation with the correct graph. (Not every choice will be used)
5<x≤9
x≤5 or x>9
(-∞,5]∪(9,∞)
(5,9]
(-∞,5)∪[9,∞)
(5,9)
x<5 or x≥9
Solve and graph the inequality
Solve and graph the inequality:
Solve and graph the inequality:
Solve and graph.
Solve and graph the inequality:
