Solve the inequality. Write the solution in set-builder notation. Part B Write an inequality for the problem. Let n = the number. One eighth of a number is less than or equal to 3.

To translate the problem into an inequality, we can express “one eighth of a number” mathematically as (frac{1}{8}n). The phrase “is less than or equal to” translates to the inequality sign (leq). Therefore, the inequality is:

[

frac{1}{8}n leq 3

]

Now, let’s solve this inequality for (n):

1. Multiply both sides by 8 to eliminate the fraction (note that since we are multiplying by a positive number, the direction of the inequality remains the same):

[

n leq 3 times 8

]

2. Calculate the right side:

[

n leq 24

]

Now, we can express the solution in set-builder notation. This indicates all values of (n) that satisfy the inequality:

[

{ n | n leq 24 }

]

So, the final solution in set-builder notation is:

[

{ n | n leq 24 }

]

If you need further assistance with inequalities or any other topics, feel free to ask!