To solve the inequality \( 8 + 7d \leq 1 \), follow these steps:

### Step 1: Isolate the term with the variable
First, subtract 8 from both sides of the inequality:
\[
7d \leq 1 - 8
\]
\[
7d \leq -7
\]

### Step 2: Solve for \( d \)
Next, divide both sides by 7 to isolate \( d \):
\[
d \leq \frac{-7}{7}
\]
\[
d \leq -1
\]

### Final Answer:
The solution to the inequality is \( d \leq -1 \).

Would you like further details or have any questions?

Here are 5 related questions:
1. How do you solve inequalities with fractions?
2. What happens when dividing by negative numbers in inequalities?
3. How do you graph the solution \( d \leq -1 \) on a number line?
4. Can inequalities have more than one solution?
5. How can you check if a number is a solution to an inequality?

**Tip:** When dividing or multiplying both sides of an inequality by a negative number, remember to reverse the inequality sign!

Explore how to solve the linear inequality 8 + 7d ≤ 1 with a clear step-by-step guide. Learn key algebraic concepts such as isolating variables and dividing inequalities. This solution is ideal for students in Grade 8-10.

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