Replace the following [ ] with the number that makes the inequalities equivalent.
[ ] s => 21; s <= - 7
The missing number that makes the inequalities equivalent is [ ].
The missing number that makes the inequalities equivalent is -7.
To determine the missing number that makes the inequalities equivalent, we need to find a value that satisfies both inequalities: s > 21 and s <= -7. This means the value of s should be greater than 21 and less than or equal to -7.
To find such a number, we can graph the two inequalities on a number line. The first inequality, s > 21, represents all values greater than 21, and the second inequality, s <= -7, represents all values less than or equal to -7.
---------->
-inf -7 21 +inf
Based on the graph, we can observe that there is no value that satisfies both conditions simultaneously. Any number greater than 21 will not be less than -7, and any number less than or equal to -7 will not be greater than 21.
Therefore, there is no missing number that makes the inequalities equivalent.