QQuestionMathematics
QuestionMathematics
When solving an equation and the final line reads 2 = 2, what is the solution?
A. 2
B. 0
C. No Solution
D. Infinite Solutions
E. One Solution
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Answer
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Step 1:I'll solve this step-by-step:
Step 2:: Understand the Equation
When an equation reduces to 2 = 2, this means the equation is true for all possible values of the variable. This indicates that the equation is an identity.
Step 3:: Analyze the Characteristics
An equation that reduces to 2 = 2 means that: - The equation is true for all values of the variable - There are no restrictions on the variable - Every value that could be substituted will make the equation true
Step 4:: Determine the Solution Type
When an equation reduces to a true statement like 2 = 2, this means there are infinite solutions. Every possible value of the variable will satisfy the equation.
Step 5:: Verify the Reasoning
2 = 2$$ is always true, regardless of what value is substituted.
Final Answer
Infinite Solutions Explanation: When an equation reduces to a true statement like 2 = 2, it means the equation is true for all possible values of the variable, which indicates infinite solutions. This is different from no solution (where the equation is always false) or a single solution (where only one specific value works).
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