Please help:) Find the median of x, 2x + 1, x/2 - 13, 45 and x + 22 if the mean of this set of numbers is 83.

102.857

Step-by-step explanation:

First solve for x:

x + (2x + 1) + (x/2 - 13) + 45 + (x + 22) = 83 × 5

x + 2x + 1 + x/2 - 13 + 45 + x + 22 = 415

(x + 2x + x/2) + (1 - 13 + 45 + 22) = 415

(7/2)x + 55 = 415

(7/2)x = 360

x = 720/7

Plug in the x values to the numbers:

Order least to greatest:

38.429, 45, 102.857, 124.857, 206.714

Find the median:

102.857

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5