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solve the inequality 2x-6>3-x

solving inequalities
 

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Kirill Z. | Physics, math tutor with great knowledge and teaching skillsPhysics, math tutor with great knowledge...
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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;∞)