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!