One-half of the sum of a number and 4 is less than 14. What is the number?
To find the number, we need to solve the given inequality.
The first step is to translate the given statement into an algebraic equation:
One-half of the sum of a number and 4: (1/2)(x + 4)
So, the inequality can be written as:
(1/2)(x + 4) < 14
To solve for x, we can start by multiplying both sides of the inequality by 2 to eliminate the fraction:
2 * (1/2)(x + 4) < 2 * 14
This simplifies to:
x + 4 < 28
Next, we can subtract 4 from both sides of the inequality to isolate x:
x + 4 - 4 < 28 - 4
This simplifies to:
x < 24
Therefore, the number (x) is less than 24, but it is not specified whether it is an integer or a real number.