# Use set builder notation to describe a complete solution

• May 26th 2011, 09:45 AM
jay1
Use set builder notation to describe a complete solution
I need help please using set builder notation to describe a complete solution for this:

47-(2x+5) less than or equal to 3(x+2) +x

{x|x ?}
I appreciate help working through this!
• May 26th 2011, 10:04 AM
mert2741
Solve the inequality to give you a simple expression for x.
The just write {x | 'expression' }
• May 26th 2011, 10:06 AM
TKHunny
$x \ge 6$

A little algebra will get you to this.
• May 26th 2011, 02:26 PM
emakarov
Quote:

I need help please using set builder notation to describe a complete solution for this:

47-(2x+5) less than or equal to 3(x+2) +x
I would say,

$\{x\in\mathbb{R}\mid 47-(2x+5) \le 3(x+2) +x\}$
• May 26th 2011, 02:34 PM
bryangoodrich
Quote:

Originally Posted by emakarov
I would say,

$\{x\in\mathbb{R}\mid 47-(2x+5) \le 3(x+2) +x\}$