Question

Which of the following inequalities correctly represents the solution to the inequality 10(x+3) > 24 - 28?

A) x > 6
B) x > 3/10
C) x > 16/3
D) x > -6

Answer 1

The correct inequality that represents the solution is x > -17/5.

Step-by-step explanation:

The inequality 10(x+3) > 24 - 28 can be simplified as 10x + 30 > -4. Combine like terms to get 10x > -34. Divide both sides of the inequality by 10 to solve for x, which gives us x > -3.4. However, we need to convert the decimal to a fraction. So, the correct answer is x > -17/5.