under which situations is w - z always negative
The expression w - z is always negative in the following situations:
1) When w < 0 and z > 0: If the value of w is negative and the value of z is positive, then w - z will always be negative.
Example: w = -5, z = 10 → w - z = -5 - 10 = -15
2) When w = 0 and z > 0: If the value of w is zero and the value of z is positive, then w - z will always be negative.
Example: w = 0, z = 8 → w - z = 0 - 8 = -8
Note: If both w and z are negative, then w - z can either be negative, positive, or zero depending on the values of w and z.