True or False: If x>4, then x>0 ?
If false please explain.
since > is transitive, and 4>0, x>4 => x>0
So, I am wondering if the statement is true or false.
x>4
4>0
so, x>0
sounds like you need to review what transitivity means.
Also, even without knowing anything about properties, you should know that if you look at the number line, since x is to the right of 4, it is also to the right of 0, since 4 is to the right of 0. Don't be afraid to use your common sense when working on a math problem!
Thanks so much!
True.
To understand why this statement is true, we need to analyze the logic behind it. The statement "If x>4, then x>0" can be rephrased as "For any value of x that is greater than 4, x will also be greater than 0."
Here's the explanation:
1. Assume that x is a number greater than 4.
2. By the properties of numbers, if a number is greater than 4, it is necessarily greater than 0.
3. Therefore, since x is greater than 4, it must also be greater than 0.
4. This satisfies the condition of the statement, making it true.
In conclusion, if x is greater than 4, it will always be greater than 0.