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?

Question

asked May 26, 2018 117k views

2 Answers

Kviktor · Answer 1 · 2018-06-02T04:30:16+0000

Answer:

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

Explanation:

Given the 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
$\leq$

then;

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

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