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Solve the compound inequality. Write the solution in interval notation

Question : Solve the compound inequality. Write the solution in interval notation : 2163463

Solve the compound inequality. Write the solution in interval notation.

26) 5x < 10 and x + 5 > 3

A) (-2, 2)

B) ∅

C) (-∞, -2)U(2, ∞)

D) [-2, 2]

27) -4x > 4 and x + 4 > 1

A) ∅

B) (-3, -1)

C) (-∞, -3)U(-1, ∞)

D) (-1, ∞)

28) x + 8 < 6 and -8x < -24

A) (-2, 3)

B) (-∞, -2)

C) ∅

D) (-∞, -2)U(3, ∞)

29) -9x < 18 and x + 9 > 6

A) (-∞, -3)U(-2, ∞)

B) (-3, -2)

C) ∅

D) (-2, ∞)

30) 8 < 2x ≤ 14

A) [-7, -4)

B) [4, 7)

C) (-7, -4]

D) (4, 7]

31) 8 ≤ 3x - 1 ≤ 14

A) (3, 5)

B) [3, 5]

C) [-5, -3]

D) (-5, -3)

32) -9 ≤ -2x + 3 < -5

A) [4, 6)

B) (-6, -4]

C) (4, 6]

D) [-6, -4)

33) -5 ≤ -2x + 5 ≤ -3

A) (-5, -4)

B) (4, 5)

C) [-5, -4]

D) [4, 5]

34) 8 ≤ (9/7)x - 1 < 17

A) (7, 8]

B) [7, 14)

C) [7, 8)

D) (7, 14]

35) 0 ≤ (2x + 1/2) < 3

A) [- (1/2), (5/2))

B) [- (1/2), (5/2)]

C) (- (1/2), (5/2)]

D) (- (1/2), (5/2))

36) - (1/3) ≤ (7x - 1/6) < (1/3)

A) (- (1/7), (3/7))

B) [- (5/21), (1/3))

C) [- (1/7), (3/7))

D) (- (1/7), (3/7)]

37) 0.4 < 0.4x - 0.7 < 1.3

A) (-0.75, 1.5)

B) [2.75, 5]

C) (0, 5)

D) (2.75, 5)

38) 5x + 2 < 6x + 4 < 7x - 4

A) (8, ∞)

B) (-∞, 8)

C) (-2, 8)

D) (-2, ∞)

List the elements of the set.

39) If A = {x|x is an even integer} and B = {-9, -7, -5, -3}, list the elements of AUB.

A) {x|x is an even integer}

B) {-9, -7, -5, -3}

C) ∅

D) {x|x is an even integer or x = -9 or x = -7 or x = -5 or x = -3}

40) If A = {x|x is an odd integer} and B = {1, 3, 4, 6}, list the elements of AUB.

A) {x|x is an odd integer}

B) {x|x is an odd integer or x = 4 or x = 6}

C) ∅

D) {1, 3}

41) If A = {59, 60, 61, 64} and B = {57, 59, 60, 62}, list the elements of AUB.

A) ∅

B) {57, 61, 62, 64}

C) {59, 60}

D) {57, 59, 60, 61, 62, 64}

42) If A = {x|x is an even integer} and B = {x|x is an odd integer}, list the elements of AUB.

A) {x|x is an odd integer}

B) ∅

C) {x|x is an integer}

D) {x|x is an even integer}

43) If A = {7, 9, 10, 11, 14} and B = {7, 9, 10, 11}, list the elements of AUB.

A) {7, 9, 10, 11}

B) ∅

C) {14}

D) {7, 9, 10, 11, 14}

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

44) x ≤ 2 or x ≥ 6

A) [-6, -2]

B) (2, 6)

C) (-∞, 2]U[6, ∞)

D) (-2, 6)

45) x < 5 or x < 9

A) (-∞, 9)

B) (5, ∞)

C) (5, 9)

D) (-∞, 5)U(9, ∞)

46) x > 3 or x < 3

A) {3}

B) (-∞, 3)

C) (3, ∞)

D) (-∞, 3)U(3, ∞)

47) x ≤ 2 or x ≥ -3

A) (-∞, ∞)

B) ∅

C) [-3, 2]

D)

(-∞, -3]U[2, ∞)

Solve the compound inequality. Write the solution in interval notation.

48) x + 7 < 8 or -7x < -21

A) (-∞, 3)

B) (-∞, 1)U(3, ∞)

C) (-∞, ∞)

D) (1, 3)

49) -6x > -30 or x + 6 > 7

A) (-∞, ∞)

B) (1, ∞)

C) (1, 5)

D) (-∞, 1)U(5, ∞)

50) 12x - 8 < 4x or -4x ≤ -12

A) (-∞, 1)U[3, ∞)

B) [1, 3]

C) (1, 3)

D) ∅

51) -3x + 1 ≥ 7 or 4x + 3 ≥ -13

A) (-∞, -4)U(-2, ∞)

B) [-2, ∞)

C) (-∞, -4]U[-2, ∞)

D) (-∞, ∞)

52) 3x - 7 > 2 or -x + 3 ≥ -9

A) (-∞, 3)U[12, ∞)

B) (3, ∞)

C) (-∞, 3]U(12, ∞)

D) (-∞, ∞)

53) (1/2)x + 1 ≤ 0 or -2x < -4

A) (-∞, 2)

B) (-∞, (1/2)]U(-2, ∞)

C) [2, 2)

D) (-∞, 2]U(2, ∞)

Solution
5 (1 Ratings )

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