To solve the inequality [tex]\(\frac{d}{7} + 4 \leq 0\)[/tex], let's follow these steps:
1. Start with the given inequality:
[tex]\[
\frac{d}{7} + 4 \leq 0
\][/tex]
2. Subtract 4 from both sides to isolate the fraction:
[tex]\[
\frac{d}{7} \leq -4
\][/tex]
3. To get rid of the fraction, multiply both sides of the inequality by 7:
[tex]\[
d \leq -4 \times 7
\][/tex]
4. Calculate the multiplication:
[tex]\[
d \leq -28
\][/tex]
So, the solution to the inequality is [tex]\(d \leq -28\)[/tex].
In interval notation, this solution can be written as:
[tex]\[
(-\infty, -28]
\][/tex]
Thus, the correct choice is:
[tex]\[
(-\infty, -28]
\][/tex]
