Practice Contradiction in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
A mathematical statement that is always false — no values of the variables can ever make it true.
x + y = 5 AND x + y = 7 can't both be true simultaneously — this is a contradiction.
Example 1
easyShow that x + 1 = x + 3 is a contradiction.
Example 2
mediumSolve 2(x + 3) = 2x + 5.
Example 3
easyIs 0 = 7 a contradiction or an identity?
Example 4
mediumSolve |x| = -5.