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What is the solution to the inequality [tex]\(\frac{d}{7} + 4 \leq 0\)[/tex]?

A. [tex]\((- \infty, -28)\)[/tex]
B. [tex]\((- \infty, -28]\)[/tex]
C. [tex]\((28, \infty)\)[/tex]
D. [tex]\([28, \infty)\)[/tex]

Sagot :

GinnyAnswer
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]
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