Question

What is the solution to the inequality ({d}/{7} + 4 > 0)?

A. - [infinity], -28)
B. - [infinity], -28
C. 28, [infinity]
D. 28, [infinity]

Answer 1

To solve the inequality (d/7 + 4 > 0), we subtract 4 and multiply both sides by 7, finding that d must be greater than -28. The correct answer is D. (28, infinity), which indicates the set of all numbers greater than 28.

Step-by-step explanation:

To solve the inequality (d/7 + 4 > 0), we first isolate the term containing d on one side. Subtracting 4 from both sides of the inequality, we get:

(d/7 > -4).

Now we multiply both sides by 7 to solve for d:

d > -28.

The solution to the inequality is all d values greater than -28. Therefore, the correct answer is D. (28, ∞), which means all real numbers greater than 28.