solving inequalities

## solve the inequality 2x-6>3-x

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# 1 Answer

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;∞)