These are the restrictions on the variable, x. Keeping the restrictions in mind, solve the equation. [ frac{7 x}{x+1}-3=frac{7}{x+1} ] a. What are the value or values of the variable that make the denominators zero? ( x= ) A. The solution set is { }. (Type an integer or a simplified fraction. Use a comma to separate answers as needed) B. The solution set is {x | x is a real number}. C. The solution set is { }.
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The denominator of a fraction cannot be zero because division by zero is undefined in mathematics. Therefore, we set the denominator equal to zero and solve for x: x + 1 = 0 x = -1 So, x cannot be -1. This is the restriction on the variable. Show more…
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