To solve the equation
[tex]\[
-9 = 17
\][/tex]
we need to determine if it is true, false, or if it has any possible solutions.
1. Understand the equation: Notice that the equation given is a simple equality with no variable present. It states that [tex]\(-9\)[/tex] is equal to [tex]\(17\)[/tex].
2. Evaluate the equality: We know from basic arithmetic that [tex]\(-9\)[/tex] does not equal [tex]\(17\)[/tex]. This statement is false because [tex]\(-9\)[/tex] is a negative number much smaller than the positive number [tex]\(17\)[/tex].
3. Conclusion: Since the equation [tex]\(-9 = 17\)[/tex] is inherently false with no variables that can be adjusted to make it true, there are no possible solutions that satisfy this equation.
4. Evaluate the given options:
- Option A: [tex]\(x = 28\)[/tex] does not make sense because there isn't a variable [tex]\(x\)[/tex] in the equation.
- Option B: [tex]\(x = 8\)[/tex] does not make sense.
- Option C: [tex]\(x = 12\)[/tex] does not make sense.
- Option D: [tex]\(x = 26\)[/tex] does not make sense.
Thus, none of the options provided (A, B, C, or D) are correct because there are no solutions to the equation [tex]\(-9 = 17\)[/tex]. The given equation is simply false.
