Contradiction Math Example 1
Follow the full solution, then compare it with the other examples linked below.
Example 1
easyShow that is a contradiction.
Solution
- 1 Step 1: Subtract from both sides: .
- 2 Step 2: . This is always false.
- 3 Step 3: No value of can make this true โ it's a contradiction.
Answer
Contradiction โ no solution.
A contradiction arises when algebraic manipulation leads to a false statement like where . It means the original equation (or system) has no solution.
About Contradiction
A mathematical statement that is always false โ no values of the variables can ever make it true.
Learn more about Contradiction โ