Question

Please show me the work thank you

Answer 1

Answer: B. x < 25

Remember: when multiplying or dividing negatives, flip the inequality sign.

3(x + 3) > 4(x - 4)                 Distributive Property
3x + 9 > 4x - 16                   Subtract 4x from both sides
-x + 9 > -16                          Subtract 9 from both sides
-x > -25                               Divide by -1 to both sides and flip the sign
x < 25                                 Answer!
 

Answer 2

3(x + 3) > 4(x - 4)

To solve this problem, first, we distribute.

3x + 9 > 4x - 16

Then, we can simplify this inequality.

9 > x - 16
0 > x - 25
x < 25

The answer is B.

Hope this helped!