Question

Anja represents the inequality StartFraction 4 minus g over 8 EndFraction less-than-or-equal-to negative 15 with the phrase “the quotient of the difference of 4 and a number and 8 is at least –15.” Which describes Anja’s error?
Anja phrase should have stated “the difference of a number and 4” not “the difference of 4 and a number”.
Anja phrase should have stated “the quotient of a number and 8” not “the quotient of the difference of 4 and a number and 8”.
Anja’s phrase should have ended with “less than –15”, not “at least –15”.
Anja’s phrase should have ended with “at most –15”, not “at least –15”.

Answer 1

Step-by-step explanation:

Anja’s phrase should have ended with “less than –15”, not “at least –15”.

Step-by-step explanation:

Given the statement:

Anja represents the inequality \frac{4-g}{8} < -15

8

4−g

<−15

with the phrase “the quotient of the difference of 4 and a number and 8 is at least –15.”

Let the number be g.

“the quotient of the difference of 4 and a number and 8" translated to \frac{4-g}{8}

8

4−g

"at least" means \leq≤

then;

“the quotient of the difference of 4 and a number and 8 is at least –15.” translated to \frac{4-g}{8}\leq -15

8

4−g

≤−15

Therefore, Anja’s phrase should have ended with “less than –15”, not “at least –15”.

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Answer 2

Answer:

Anja’s phrase should have ended with “at most –15”, not “at least –15”.

Step-by-step explanation:

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