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

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

Given statement:

Anja represents the inequality (4-g)/8 <-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 (4-g/8)

"at least" means : <

“the quotient of the difference of 4 and a number and 8 is at least –15.” translated to (4-g)/8 <-15

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

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