To solve this inequality, we can examine the different cases when each term is positive or negative.
When x is even: If x is even, then each term in the exponent will be positive, because (x-1), (x-1), and (x-3) will all be even numbers. Therefore, the entire expression will be greater than 0.
When x is odd: If x is odd, then (x-1) will be even, and (x-3) will be even. Since (x-1) and (x-3) are both even numbers, the entire expression will be greater than 0.
Therefore, the inequality holds for all real numbers of x.
To solve this inequality, we can examine the different cases when each term is positive or negative.
When x is even:
If x is even, then each term in the exponent will be positive, because (x-1), (x-1), and (x-3) will all be even numbers. Therefore, the entire expression will be greater than 0.
When x is odd:
If x is odd, then (x-1) will be even, and (x-3) will be even. Since (x-1) and (x-3) are both even numbers, the entire expression will be greater than 0.
Therefore, the inequality holds for all real numbers of x.