SOLUTION: Solve the polynomial inequality. Express the solution set in interval notation. {7}/{x + 3} > {8}/{x - 3}

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Question 946019: Solve the polynomial inequality. Express the solution set in interval notation.
{7}/{x + 3} > {8}/{x - 3}
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
Make a relation to 0.





Multiply left and right members the lcd of (x+3)(x-3).



, hoping you can see through the skipped step;





Answer by MathTherapy(10551)   (Show Source): You can put this solution on YOUR website!

Solve the polynomial inequality. Express the solution set in interval notation.
{7}/{x + 3} > {8}/{x - 3}




7(x - 3) > 8(x + 3) ------- Multiplying by LCD, (x + 3)(x - 3)

7x - 21 > 8x + 24

7x - 8x > 24 + 21

- x = 45

 ------ Inequality sign changes when DIVIDING by negative number

 

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