Which of the following is correct?a)-1 < 0b)1 < 0c)-8 > -7d)-...
Let's evaluate each inequality:
a) -1 < 0 (True, because -1 is less than 0)
b) 1 < 0 (False, because 1 is not less than 0)
c) -8 > -7 (False, because -8 is not greater than -7)
d) -2 > 4 (False, because -2 is not greater than 4)
So, the correct answer is a) -1 < 0.
Which of the following is correct?a)-1 < 0b)1 < 0c)-8 > -7d)-...
Understanding Inequalities
Inequalities are statements that compare two values or expressions. The symbols used in inequalities are:
- "<" means="" "less="" than."="">">
- ">" means "greater than."
Let's analyze each option provided:
Option A: -1 < />
- This statement is true.
- In the number line, -1 is to the left of 0, indicating that -1 is indeed less than 0.
Option B: 1 < />
- This statement is false.
- In the number line, 1 is to the right of 0, meaning that 1 is greater than 0.
Option C: -8 > -7
- This statement is false.
- On the number line, -8 is to the left of -7, which means -8 is less than -7.
Option D: -2 > 4
- This statement is false.
- Again, on the number line, -2 is to the right of 4, indicating that -2 is greater than 4. However, in absolute terms, -2 is less than 4.
Conclusion
The only correct option is A: -1 < 0.="" understanding="" the="" number="" line="" and="" the="" values="" associated="" with="" positive="" and="" negative="" numbers="" is="" crucial="" in="" solving="" inequalities.="" always="" remember="" that="" negative="" numbers="" are="" less="" than="" positive="" numbers!="" 0.="" understanding="" the="" number="" line="" and="" the="" values="" associated="" with="" positive="" and="" negative="" numbers="" is="" crucial="" in="" solving="" inequalities.="" always="" remember="" that="" negative="" numbers="" are="" less="" than="" positive="" />