Write an inequality for the situation. all real numbers at most -9.5 or at least 5.5 

Solution:

Given, all real number at most -9.5

All real numbers at least 5.5

We have to write an inequality for the given statement.

At least means the minimum value

Here, minimum value is 5.5

At most means the maximum value

Here, maximum value is -9.5

So, x is in between 5.5 and -9.5 excluding 5.5 and -9.5.

Therefore, the compound inequality is -9.5 < x < 5.5.

Example:

Write an inequality for the situation. all real numbers at most 0 and at least -5. 

Solution:

Given, all real number at most 0

All real numbers at least -5

We have to write an inequality for the given statement.

At least means the minimum value

Here, minimum value is -5

At most means the maximum value

Here, maximum value is 0

So, x is in between 0 and -5 including 0 and -5.

Therefore, the compound inequality is -5 ≤ x ≤ 0.

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Write an inequality for the situation. all real numbers at most -9.5 or at least 5.5 

Summary:

The inequality for the situation, all real numbers at most -9.5 or at least 5.5 is -9.5 < x < 5.5.