Answer:
The equation -5 = 4 - (3x/4) - 3x is defined for all real numbers, as long as the denominator is not equal to zero. Division by zero is undefined in mathematics.
Explanation:
In this equation, there are two terms with denominators: (3x/4) and -3x.
To determine when the equation is undefined, set each denominator equal to zero and solve for x:
For (3x/4) to be undefined, the denominator (4) must be equal to zero:
4 = 0
This equation is never true; there is no value of x that makes the denominator 4 equal to zero.
For -3x to be undefined, the denominator (which is implicitly 1) must be equal to zero:
1 = 0
Again, this equation is never true, and there is no value of x that makes the denominator 1 equal to zero.