Answer:
a and d
Explanation:
To answer this question, we need to compare the values of the expressions on both sides of the inequality signs. We can use a calculator to find the approximate values of these expressions. For example, -√70 is approximately -8.3666. Using this method, we can find the values of the other expressions as follows:
- a. -8.5 > - √70 > -9
- -8.5 > -8.3666 > -9
- This is **true** because -8.5 is greater than -8.3666, and -8.3666 is greater than -9.
- b. -7 > - √70 > -7.5
- -7 > -8.3666 > -7.5
- This is **false** because -7 is not greater than -8.3666, and -8.3666 is not greater than -7.5.
- c. -8 > - √70 > -8.5
- -8 > -8.3666 > -8.5
- This is **false** because -8 is not greater than -8.3666, and -8.3666 is not greater than -8.5.
- d. 7.5 > -√70 > -8
- 7.5 > -8.3666 > -8
- This is **true** because 7.5 is greater than -8.3666, and -8.3666 is greater than -8.
Therefore, the correct answer is a and d