Question

Write the specification 14.35 ≤ d ≤ 15.15 as an absolute value inequality.

A.



|d – 14.75| ≥ 0.4


B.



|d – 0.4| ≥ 14.75


C.



|d – 14.75| ≤ 0.4


D.



|d – 0.4| ≤ 14.75

Answer 1

its C im 95.73864737% sure

Answer 2

We need to first look on how far apart 14.35 and 15.15 are to do this we would subtract them from each other...

\(\Large{15.15-14.35=0.8}\)

Since they are only \(\large{.8}\) units from each other we would divide that by 2 and see that it would equal \(\large{.4}\) So we would want each side to be equal to \(\large{.4}\) in order to accomplish that we need to find a number that will make each side be equal of \(\large{.4}\) in this case we would use \(\large{14.75}\) so we would do this...

\(\LARGE {14.35-14.75 \le x - 14.75 \le 15.15 -14.75}\)

In which we simplify...

\(\huge\color{green}{-0.4 \le x - 14.75 \le 0.4}\)

Now we see that we have a negavtive the the left and a postive to the right we can convert this to....

\(\huge\color{red}{|x-14.75| \le 0.4}\)

Answer 3

@montanaok