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Let n is the positive even integer.
Let three consecutive positive even integers are .
The word no greater than represents .
The word Three consecutive positive even integers with a sum no greater than 36 represents .
The inequality is .
Combine like terms
Apply subtraction property of inequality: If then .
Subtract 6 from each side.
Apply division property of inequality: If then .
Divide each side by 3.
Cancel common terms.
.
Therefore n values set is .
If then remaining consecutive positive even numbers are and the inequality solution set is .
If then remaining consecutive positive even numbers are and the inequality solution set is .
If then remaining consecutive positive even numbers are and the inequality solution set is .
If then remaining consecutive positive even numbers are and the inequality solution set is .
If then remaining consecutive positive even numbers are and the inequality solution set is .
The inequality solution sets are .
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