What is the first x value that satisfies x-3>0?

  • Thread starter Cinitiator
  • Start date
The statement x-3>0 is always true for all real numbers greater than 3.In summary, x is a real number and there is no smallest value greater than 3 that satisfies the inequality x-3>0.
  • #1
Cinitiator
69
0

Homework Statement


What's the first x value which satisfies x-3>0?


Homework Equations


x-3>0

The Attempt at a Solution


3 + an infinitesimal number would satisfy this, but I have no idea how to write it down in a proper algebraic form.
 
Physics news on Phys.org
  • #2
Cinitiator said:

Homework Statement


What's the first x value which satisfies x-3>0?


Homework Equations


x-3>0

The Attempt at a Solution


3 + an infinitesimal number would satisfy this, but I have no idea how to write it down in a proper algebraic form.

What is x? Is it an integer, a rational, a real?
 
  • #3
Mark44 said:
What is x? Is it an integer, a rational, a real?

x is a real number.
 
  • #4
There is no smallest real number that is greater than 3.
 

1. What does the expression "x-3>0" mean?

The expression "x-3>0" means that the value of x is greater than 3. In other words, the number must be larger than 3 in order for the statement to be true.

2. Why is the value of x important in this expression?

The value of x is important because it determines whether the statement "x-3>0" is true or false. If the value of x is greater than 3, the statement is true. If the value of x is less than or equal to 3, the statement is false.

3. How do I find the first value of x that satisfies the expression "x-3>0"?

To find the first value of x that satisfies the expression "x-3>0", you can start by setting x equal to 4, since this is the first number that is greater than 3. You can then plug in this value for x and see if the statement is true. If it is, then 4 is the first value that satisfies the expression. If not, you can continue increasing x by 1 until you find the first value that satisfies the expression.

4. Is there only one value of x that satisfies the expression "x-3>0"?

No, there are multiple values of x that can satisfy the expression "x-3>0". As long as the value of x is greater than 3, the statement will be true. This means that any number larger than 3, such as 4, 5, 6, etc., will satisfy the expression.

5. Can negative numbers satisfy the expression "x-3>0"?

No, negative numbers cannot satisfy the expression "x-3>0". This is because any negative number subtracted by 3 will result in a negative number, which is not greater than 0. The expression "x-3>0" is only satisfied by positive numbers greater than 3.

Similar threads

  • Precalculus Mathematics Homework Help
Replies
2
Views
639
  • Precalculus Mathematics Homework Help
Replies
23
Views
473
  • Precalculus Mathematics Homework Help
Replies
6
Views
662
  • Precalculus Mathematics Homework Help
Replies
7
Views
730
  • Precalculus Mathematics Homework Help
Replies
9
Views
932
  • Precalculus Mathematics Homework Help
Replies
11
Views
1K
  • Precalculus Mathematics Homework Help
Replies
6
Views
586
  • Precalculus Mathematics Homework Help
Replies
2
Views
514
  • Precalculus Mathematics Homework Help
Replies
7
Views
837
  • Precalculus Mathematics Homework Help
Replies
11
Views
322
Back
Top