how do you solve the following?

Question

3(x+2)-(5x-8)>0

 

Answer 1

The solution to the inequality is as follows:

3(x+2)-(5x-8)>0

3x+6-5x+8>0 remember: a negative sign in front of a parenthesis changes the signs of all terms when multiplied)

-2x+14>0 combine like terms

-2x>-14 (subtract 14 from both sides)

Now, the tricky part: you must divide by a negative number to isolate x. This will reverse the inequality as follows:

x<7 (the resulting equation after you divide both sides by negative 2)

 

Answer 2

3x + 6 - 5x + 8 > 0

 

-2x + 14 > 0

 

-2x > -14

 

x < 7            the inequality reversed with division by a negative number