Answered

Welcome to Westonci.ca, the place where your questions find answers from a community of knowledgeable experts. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

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]
We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.