CH2 2.5 Compound Inequalities Flashcards
(16 cards)
The word ____ means intersection.
And
The word ____ means union.
Or
The symbol ____ represents intersection.
∩
The symbol ____ represents union.
∪
If
A = {x|x is an even integer},
B = {x|x is an odd integer},
C = {2,3,4,5} and
D = {3,4,5,6},
list the element(s) of the following set.
C ∪ D
C ∪ D = {2,3,4,5,6}
If
A = {x|x is an even integer},
B = {x|x is an odd integer},
C = {2,3,4,5} and
D = {5,6,7,8},
list the element(s) of the following set.
A ∩ D
A ∩ D = {6,8}
Solve the compound inequality. Graph the solution set and write it in interval notation.
X < 1 and X > - 2
(Graph first to find the solution set)
The solution set is
(-2,1)
Solve the compound inequality.
-2x < -10 and x - 3 <8
The solution set is
(5,11)
Solve the compound Inequality.
5 < x -13 < 11
The solution set is
(18,24)
Solve the compound inequality.
−6 ≤ 5x − 1 ≤ 9
The solution set is
[-1,2]
Solve the compound inequality.
1 ≤ 2/7x + 7 ≤ 10
The solution set is
[-21, 21/2]
Solve the compound inequality. Graph the solution set and write it in interval notation.
x < 6 or x < 7
(Graph first to find the solution set)
The solution set is
(−∞,7)
Solve the compound inequality. Graph the solution set and write it in interval notation.
x ≤ -9 or x ≥ 4
(Graph to find the solution set)
The solution set is
(−∞,−9] ∪ [4,∞)
Solve the compound inequality. Graph the solution set and write it in interval notation.
x > 5 or x < 6
(Graph to find the solution set)
The solution set is
(−∞,∞)
Solve the compound inequality
X + 10 < 0 or 4x > -8
The solution set is
(−∞,−10) ∪ (−2,∞)
Solve the compound Inequality.
3(x - 5) < 6 or x + 5 > 9
The solution set is
(−∞,∞)