Final answer:
The equation for the given statement, 'The sum of a number and fourteen is less than or equal to three times the number,' can be written as: x + 14 ≤ 3x.
Step-by-step explanation:
The equation for the given statement, 'The sum of a number and fourteen is less than or equal to three times the number,' can be written as:
x + 14 ≤ 3x
To solve this inequality:
Subtract x from both sides to get 14 ≤ 2x.
Next, divide both sides by 2 to isolate x which gives us x ≥ 7.
This solution indicates that the original number must be 7 or greater to satisfy the inequality.
Where 'x' represents the unknown number.