1.Explain why there is no number that can replace N to make the equation |n| = -1 true.
2. List the integers that can replace N to make the statement -|8| < n < -|-5| true.
I don't really get what am I supposed to do?
I figured out the first one.
Still trying number 2.
Solved both!
Good for you!
1. To understand why there is no number that can replace N to make the equation |n| = -1 true, we need to understand the concept of absolute value. The absolute value of a number is always non-negative. So, the equation |n| = -1 is not possible because the absolute value of any number cannot be negative. The absolute value function always yields a positive or zero value.
2. To find the integers that can replace N to make the statement -|8| < n < -|-5| true, we need to follow these steps:
Step 1: Calculate the absolute values.
- The absolute value of 8 is 8.
- The absolute value of 5 is 5.
Step 2: Negate the absolute values.
- Negating 8 gives -8.
- Negating 5 gives -5.
Step 3: Rewrite the statement with the calculated values.
- The statement becomes: -8 < n < -5.
Step 4: List the integers between -8 and -5.
- The integers between -8 and -5 are: -7, -6.
Therefore, the integers that can replace N to make the statement -|8| < n < -|-5| true are -7 and -6.