The solution of 5x>2x is?
x>0
As long as x is positive, the statement 5x>2x is true.
what if x were negative ? Try x = -1
The inequality is not valid for any negative number x.
If you require a derivation, subtract 2x from both sides, leaving 3x>0. This is a valid operation for inequalities, and does not change the direction of the > sign.
Then divide both sidss by +3. This operation does not change the direction of the > sign either.
To solve the inequality 5x > 2x, we need to isolate the variable x. Here's how we can do it step by step:
1. Start by subtracting 2x from both sides of the inequality:
5x - 2x > 2x - 2x
Simplifying this gives us:
3x > 0
2. Now, we have the inequality 3x > 0. To solve for x, we can divide both sides of the inequality by 3:
(3x)/3 > 0/3
This simplifies to:
x > 0
Therefore, the solution to 5x > 2x is x > 0, which means that any value of x greater than 0 will satisfy the inequality.