Thread: 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!

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

$\displaystyle x \ge 6$

A little algebra will get you to this.

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,

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

Originally Posted by emakarov

I would say,

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

Minus one point for not simplifying your answer :P