Find all of the solutions to : 33 < 3x - 3((x-11)/2) ≤66

Answer 1

Hi Erika,

We can start by isolating x in the middle expression.

Given:

33 < 3x - 3((x - 11) / 2) ≤ 66

33 < 3x - 3(x/2 - 11/2) ≤ 66

33 < 3x - 3x/2 + 33/2 ≤ 66

33 < 3x/2 + 33/2 ≤ 66

Now, let's subtract 33/2 from all three parts.

33/2 < 3x/2 ≤ 99/2

Multiply all three parts by 2/3.

11 < x ≤ 33