Goal
We want to understand what the equation 15 = ½ − 11 means and whether it makes sense as written.
Step 1: Check the equation
Look at the right side: ½ − 11. This is a simple arithmetic expression, not a variable we can solve for. It equals a number, just like 0.5 − 11.
Step 2: Do the arithmetic on the right side
- Compute 1/2, which is 0.5.
- Subtract 11: 0.5 − 11 = −10.5.
So the right side equals −10.5.
Step 3: Compare both sides
The left side is 15. The right side is −10.5. They are not equal.
Conclusion
As written, the equation 15 = ½ − 11 is false. If we want a true equation, we could change the left side or the right side. For example:
- Change the left side to −10.5: −10.5 = ½ − 11 (true).
- Change the right side to 15: 15 = ½ + 14.5 (also true if calculated).
In short, with the current numbers, 15 does not equal ½ − 11.