(–3) + (–6) ______ (–3) – (–6)a)>b)&l...
(-3) + (-6) = -9
(-3) – (-6) = -3 + 6 = 3
-9 < 3
(–3) + (–6) ______ (–3) – (–6)a)>b)&l...
Understanding the Expression
To solve the expression (–3) + (–6) ______ (–3) – (–6), we first need to simplify both sides of the inequality.
Step 1: Simplifying the Left Side
- When we add two negative numbers:
- (–3) + (–6) = –9
Step 2: Simplifying the Right Side
- Next, we simplify (–3) – (–6):
- Subtracting a negative is the same as adding a positive:
- (–3) – (–6) = (–3) + 6 = 3
Step 3: Forming the Inequality
Now, we compare the results:
- Left Side: –9
- Right Side: 3
The inequality now reads:
- –9 ______ 3
Step 4: Determining the Inequality Symbol
- Since –9 is less than 3, we can fill in the blank with the less than symbol (< />
- Final statement: –9 < />
Conclusion
Thus, the correct option to fill the blank is <, making="" the="" complete="">,>
- (–3) + (–6) < (–3)="" –="" />
This confirms that the correct answer is option 'B'.