Question

When 14 is subtracted from half of the number k, the result is at most 18 Write this as an inequality and solve to find the possible values of k.

Answer 1

The inequality is expressed as (1/2)k - 14 ≤ 18, and the possible values for the number k are all numbers less than or equal to 64 after solving the inequality step by step.

Step-by-step explanation:

When solving the inequality where 14 is subtracted from half of the number k, and the result is at most 18, we first express this relationship mathematically as:

(1/2)k - 14 ≤ 18

To find the possible values of k, follow these steps:

1. Add 14 to both sides of the inequality to isolate the term with k:
2. (1/2)k ≤ 18 + 14
3. (1/2)k ≤ 32
4. Multiply both sides by 2 to solve for k:
5. k ≤ 64

Thus, the possible values of k are all numbers less than or equal to 64.