Final answer:
To find the number, we can set up the equation 10 - (1/2)x > 4 and solve for 'x' by simplifying the equation step-by-step. The solution is x < 12.
Step-by-step explanation:
To find the number in this scenario, we can set up an equation. Let's call the number 'x'. We know that when one half of the number is subtracted from 10, the result is greater than 4. Mathematically, this can be represented as: 10 - (1/2)x > 4. To solve for 'x', we can start by subtracting 4 from both sides of the equation: 10 - 4 - (1/2)x > 0.
Simplifying further, we get: 6 - (1/2)x > 0. Next, we can subtract 6 from both sides: - (1/2)x > -6. Finally, we can multiply both sides by -2 to isolate 'x': x < 12.