Contradiction Math Example 3

Follow the full solution, then compare it with the other examples linked below.

Example 3

easy
Is 0=70 = 7 a contradiction or an identity?

Solution

  1. 1
    0โ‰ 70 \neq 7, so this is always false.
  2. 2
    It is a contradiction.

Answer

Contradiction.
A statement 0=c0 = c (where cโ‰ 0c \neq 0) is a contradiction โ€” always false. In contrast, 0=00 = 0 is an identity โ€” always true, indicating infinitely many solutions.

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†’

More Contradiction Examples

Example 1 easy

Show that [formula] is a contradiction.

Example 2 medium

Solve [formula].

Example 4 medium

Solve [formula].

โ† All Contradiction Examples Contradiction Concept

Related Concepts

EquationsConsistency