The absolute value measures the distance a number is away from the origin (zero) on the number line. A number can be to the left or right of zero on the number line, but the distance away from zero is always positive. Graphically:
In other words:
• If d is positive and

• If d is negative and

Therefore, the equation that has no solutions is:
Answer:
The most absolute error is 12
Step-by-step explanation:
The formula for absolute error is given by the following relation;
Absolute error, Δx = Value measured, x₀ - Exact (actual) value, x
Δx = x₀ - x
Since the actual count is between 77 and 89, the maximum absolute error will be where the actual value = 77 and the measured value = 89 and vice versa, giving an absolute error of 89 -77 = 12.
The most absolute error = 12.