replace the following blank with the number that makes the inequalities equivalent.
_ s>12;s<-6
_ -6<s<12
To make the inequalities equivalent, we need to find the number that satisfies both conditions. Let's start with the first inequality, s > 12.
To satisfy this inequality, s should be greater than 12. Now, let's move on to the second inequality, s < -6.
To satisfy this inequality, s should be less than -6.
Therefore, we need to find a number that is greater than 12 and less than -6 in order to make the two inequalities equivalent. However, there is no number that can satisfy both conditions simultaneously. Therefore, there is no specific number that can be placed in the blank to make the inequalities equivalent.
To find the number that makes the inequalities s > 12 and s < -6 equivalent, we need to determine the number that satisfies both conditions simultaneously.
Let's first consider the inequality s > 12. This inequality states that s must be greater than 12. To make this inequality true, any value of s that is greater than 12 will satisfy it.
Next, let's examine the inequality s < -6. This inequality indicates that s must be less than -6. To make this inequality true, any value of s that is less than -6 will satisfy it.
To find the number that satisfies both conditions simultaneously, we need to identify the overlapping region between these two inequalities. This region is the part where both conditions are true at the same time.
The overlapping region occurs when s is less than -6 but also greater than 12. However, since this is not possible, there is no number that can make these two inequalities equivalent.
Hence, there is no number to replace the blank with to make the inequalities s > 12 and s < -6 equivalent.