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.