Use set builder notation to describe a complete solution

**jay1** · May 26th 2011, 08:45 AM

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!

**mert2741** · May 26th 2011, 09:04 AM

Solve the inequality to give you a simple expression for x.
The just write {x | 'expression' }

**TKHunny** · May 26th 2011, 09:06 AM

$x \ge 6$

A little algebra will get you to this.

**emakarov** · May 26th 2011, 01:26 PM

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,

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

**bryangoodrich** · May 26th 2011, 01:34 PM

Originally Posted by emakarov

I would say,

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

Minus one point for not simplifying your answer :P

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