Definition
Elimination
Elimination means removing a possibility because a known condition proves that it cannot work.
Continue from this idea into connected AXIO math.
Defining relationship
Cross out with a reason, never with a hunch.
Elimination is a reasoning strategy that removes a candidate, case, or value only when a stated fact or condition shows that candidate cannot satisfy the problem.
The number is even and less than 7.
not even
passes both known conditions
passes both known conditions
not less than 7
Remaining: 4, 6
Two possibilities remain; elimination is not finished until evidence identifies one.
What it means
Start with the possible choices. Check each one against the rules, and cross out a choice only when you can name the rule it breaks. The choices left are still possible.
Remember it
Cross out with a reason, never with a hunch.
Example
A hidden whole number from 1 to 6 is even and greater than 3. Eliminate 1, 3, and 5 because they are odd. Eliminate 2 because it is not greater than 3. The remaining possibilities are 4 and 6.
Watch for
Elimination may leave several possibilities. It solves the problem only when the remaining information identifies the answer.
Common mix-up
Elimination is not guessing. Every removed choice needs a specific conflict with a fact or condition.
Exact meaning
Elimination is a reasoning strategy that removes a candidate, case, or value only when a stated fact or condition shows that candidate cannot satisfy the problem.