An indirect proof starts with the assumption that the statement we are trying to prove is not true.
x≤ 8
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An indirect proof starts with the assumption that the statement we are trying to prove is not true.
In this case, the conclusion of the conditional statement is x>8.
The negation of this statement is that x is not greater that 8.
x isgreater than 8.
⇓
x is notgreater than 8.
The obtained negation means that x is less than or equal to 8. Therefore, the negation of the conclusion is x≤ 8. Finally, we can state the assumption we would make to start the indirect proof.
Assumption:
x≤ 8
