If r = 12.5 and s = |−13|, which of the following inequalities is not true???
1.r≠s
2.r< s
3.r≥s
4.r≤s
To determine which of the given inequalities is not true, let's start by evaluating the values of r and s.
Given:
r = 12.5
s = |−13|
First, let's calculate the absolute value of −13:
|−13| = 13
Now, we can compare the values of r and s to determine which inequality is not true:
1. r ≠ s:
Since r = 12.5 and s = 13, r is not equal to s. Therefore, inequality 1 (r ≠ s) is true.
2. r < s:
Since r = 12.5 and s = 13, r is indeed less than s. Therefore, inequality 2 (r < s) is true.
3. r ≥ s:
Since r = 12.5 and s = 13, r is greater than or equal to s. Therefore, inequality 3 (r ≥ s) is true.
4. r ≤ s:
Since r = 12.5 and s = 13, r is indeed less than or equal to s. Therefore, inequality 4 (r ≤ s) is true.
In conclusion, all the given inequalities (1. r ≠ s, 2. r < s, 3. r ≥ s, 4. r ≤ s) are true. None of them is not true.