Find the median, range, and interquartile range of both sets:

Set 1: 65, 66, 77, 79, 81, 93, 104, 105

Set 2: 56, 1, 29, 72, 67, 59, 74, 60
Which is true about the two sets?
Set 1 has a range of 40 and a median of 85.
Set 2 has a range of 74 and a median of 62.
Both sets have an interquartile range of 27.
Set 2 has data that is closer to its median than Set 1.

C) Both sets have an interquartile range of 27.

Step-by-step explanation:

Sorted data

Set 1: 65, 66, 77, 79, 81, 93, 104, 105

Set 2: 1, 29, 56, 59, 60, 67, 72, 74

Median position: (8+1)/2 = 4.5th value

Ranges:

Set 1: 105 - 65 = 40

Set 2: 74 - 1 = 73

Medians:

Set 1: (79+81)/2 = 80

Set 2: (59+60)/2 = 59.5

IQR:

Set 1: (93+104)/2 - (66+77)/2

= 27

Set 2: (67+72)/2 - (29+56)/2

= 27

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

~

option 3 . (5x + 1) - (-10x + 6)

step-by-step explanation:

option 1 :

(4x + 3) + (-9x + 4)

or 4x+3 -9x + 4

or -5x + 7

option 2

(x - 2) - (6x - 9)

or x-2-6x + 9

or -5x + 7

option 3

(5x+ + 6)

or 5x + 1 + 10x -6

or 15x -5

option 4

-4x+2x+7-3x

-7x + 2x + 7

-5x + 7

hence only option 3 did   not satisfy the given simplify expression.