solve the inequality 2x-6>3-x

Question

solving inequalities

 

Answer 1

Collect terms with x on one side and numbers on another.

 

2x-6>3-x ⇔ 2x+x>3+6 

 

Then simplify to get:

3x>9

 

Solve by dividing both parts by 3

x>3

 

So the answer is:

 

x∈(3;∞)