Alg I CP: Chapter 3 Test Review

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∩

intersection symbol

disjoint sets

no elements in common

x≥-4

solve -2x − 1 ≤ 7

x>7

solve -3x < -21

x≤-7

solve 1 - 7x ≥ 50

x≥-10

solve x + 4 ≥ -6

x≥10

solve x+3≥13

intersection

the set of the elements that are common to every set

∪

union symbol

-4 < x < -1

|2x + 5| - 4 < -1

x < -2 or x > 3

|2x - 1| > 5

x < -5.3 or x > -0.7

|3x + 9| > 7

-1 < x < 5.5

|4x - 9| < 13

x>6

−5x+3<-27

x < -3 or x > 5

-4 |x - 1|< -16

x>-6

-5x-1+2x<17

-42/3

-6(x + 3) ≤ 6

x>-3

2(4x-6)-10x<-6

x = -10/3 or x = 2/3

3 + |3x + 4| = 9

-14 < x < 18

3 + |x - 2| < 19

x < 2 or x > 14

3 |x - 8| > 18

x≥6

3x-4≥14

x<1

4(4-x)+1>13

x≤-3

Solve (x/3)+4 ≤ 3

1 < x < 3

Solve -2 < -3x + 7 < 4

3≥x

Solve -2 ≤ 4 - 2x

-6 < x < 1

Solve -20 < 3x - 2 < 1

x < 2 or x > 3

Solve -2x + 7 > 3 or 3x - 4 > 5

-1 < x < 4

Solve -3 < 2x - 1 < 7

1 < x < 4

Solve -4 < x - 5 < - 1

x = -3 or x = 5

Solve -4 |x - 1| = -16

-5 < x < 7

Solve -6 < x - 1 < 6

-5<w

Solve 15 > -3w

x = -14 or x = 18

Solve 3 + |x - 2| = 19

x < -7 or x > 4

Solve 3 - 2x > 17 or 5x - 3 > 17

10 < c < 12

Solve 37 < 3x + 7 < 43

x<-1

Solve 3x - 5 < -8

x < - 2 or x > 3

Solve 4x + 3 < -5 or -2x + 7 < 1

x < 4 or x > 8

Solve 6x - 15 > 9 or 10x > 80

x > 2 or x < 3

Solve 7 - 3x > 1 or 5x + 2 > 17

-4 < x < -2

Solve 7 < -3x + 1 < 13

0≤y

Solve 7 ≤ 3y + 7

5 < x < 7

Solve 8 < x + 3 < 10

m<-2

Solve 8m +3< -13

p>(1/3)

Solve 9 - 3p < 8

x = -4 or x = -1

Solve |2x + 5| - 4 = -1

x = -2 or x = 3

Solve |2x - 1| = 5

NO SOLUTION

Solve |2x - 3| + 3 = 2

x = -1 or x = 8

Solve |2x - 7| + 9 = 18

x = -1 or x = 5.5

Solve |4x - 9| = 13

x<-3