Explanation:
Let's set up an inequality to represent the given information:
Twice the number, n, plus 5 is at most 15.
2n + 5 ≤ 15
Now, let's solve for n:
2n + 5 ≤ 15
Subtract 5 from both sides:
2n ≤ 10
Divide by 2 (since the coefficient of n is 2):
n ≤ 5
So, the possible values for the number (n) are any real numbers less than or equal to 5. In interval notation, we can express this as:
n ∈ (-∞, 5]