CH2 2.5 Compound Inequalities Flashcards

(16 cards)

1
Q

The word ____ means intersection.

A

And

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2
Q

The word​ ____ means union.

A

Or

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3
Q

The symbol ____ represents intersection.

A

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4
Q

The symbol ____ represents union.

A

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5
Q

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

A

C ∪ D =​ {2,3,4,5,6​}

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6
Q

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

A ∩ D = {6,8}

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7
Q

Solve the compound inequality. Graph the solution set and write it in interval notation.

X < 1 and X > - 2

A

(Graph first to find the solution set)
The solution set is
(-2,1)

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8
Q

Solve the compound inequality.

-2x < -10 and x - 3 <8

A

The solution set is
(5,11)

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9
Q

Solve the compound Inequality.

5 < x -13 < 11

A

The solution set is
(18,24)

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10
Q

Solve the compound inequality.

−6 ≤ 5x − 1 ≤ 9

A

The solution set is
[-1,2]

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11
Q

Solve the compound inequality.
1 ≤ 2/7x + 7 ≤ 10

A

The solution set is
[-21, 21/2]

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12
Q

Solve the compound inequality. Graph the solution set and write it in interval notation.

x < 6 or x < 7

A

(Graph first to find the solution set)

The solution set is
(−∞,7)

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13
Q

Solve the compound inequality. Graph the solution set and write it in interval notation.

x ≤ -9 or x ≥ 4

A

(Graph to find the solution set)

The solution set is

(−∞,−9] ∪ [4,∞)

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14
Q

Solve the compound inequality. Graph the solution set and write it in interval notation.

x > 5 or x < 6

A

(Graph to find the solution set)

The solution set is

(−∞,∞)

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15
Q

Solve the compound inequality

X + 10 < 0 or 4x > -8

A

The solution set is

(−∞,−10) ∪ (−2,∞)

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16
Q

Solve the compound Inequality.

3(x - 5) < 6 or x + 5 > 9

A

The solution set is
(−∞,∞)