Madison represented the sentence “The product of 3 and the difference of negative 4 and the quotient of a number and negative 2 is at most 5 ” by using the inequality 3 times open paren negative 4 minus n over negative 2 close paren is less than 5 Which best describes Madison’s error?
Answer
A
The less than symbol should be replaced with the less than or equal to symbol.
B
“The difference of negative 4 and the quotient of a number and negative 2 ” should be written as the fraction with numerator negative 4 minus n and denominator negative 2 .
C
“The product of 3 and the difference of negative 4 and the quotient of a number and negative 2 ” should be written as 3 times negative 4 minus open paren n over negative 2 close paren .
D
The less than symbol should be replaced with the greater than symbol.
Explanation
“At most 5” means the expression can equal 5 or be less than 5, so the inequality must use ≤. Madison used <, which excludes the possibility that the expression equals 5. Her expression correctly represents 3 times the difference of −4 and n divided by −2; only the inequality symbol needs to change.
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