Question

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 inequality3 (Negative 4 minus StartFraction n over negative 2 EndFraction) less-than 5.

Answer 1

Answer: Madison used $\leq$ instead of $\geq$

Step-by-step explanation:

The missing question is: "Which best describes Madison’s error?"

For this exercise you need to remember the following:

1. By definition, a "product" is the result of a multiplication.

2. A "difference" is the result of a subtraction.

3. A "quotient" is the result of a division.

4. The words "at most" indicate than the symbol for the Inequality is: $\geq$

Let be "n" a number.

Knowing the information given above, you can determine that 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"  can represented with the following inequality:

$3(-4-\frac{n}{-2}) \geq 5$

 Madison used this inequality:

$3(-4-\frac{n}{-2}) \leq 5$

Notice that she is wrong, because she used $\leq$ instead of $\geq$

Answer 2

Answer:

C) The less than symbol should be replaced with the less than or equal to symbol.

Step-by-step explanation:

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