Q:

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.” Which describes Anja’s error?

Accepted Solution

A:
Answer: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 [tex]\frac{4-g}{8}< -15[/tex]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 [tex]\frac{4-g}{8}[/tex]"at least" means [tex]\leq[/tex]then;“the quotient of the difference of 4 and a number and 8 is at least –15.” translated to [tex]\frac{4-g}{8}\leq -15[/tex]Therefore, Anja’s phrase should have ended with “less than –15”, not “at least –15”.