Solve and write interval notation for the solution set 3x - 8 < 5x + 22

Question

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Answer 1

We solve this inequality the same way we solve equations.

 

 

Subtract 3x on both sides of inequality.

 

-8 < 2x + 22

 

 

Subtract 22 on both sides of inequality.

 

-30 < 2x

 

 

Divide both sides of inequality by 2.

 

-15 < x

 

x > -15

 

 

The solution is  (-15, ∞).