Answer:
The inequality symbol is translated incorrectly. The words “at least” should be represented as greater than or equal to instead of greater than
There should be x-5 instead of x+5
Explanation:
We are given
The product of –3 and the quotient of 8 and the difference of a number and 5 is at least –16.
Let's assume that number as 'x'
so,
difference of a number and 5 =x-5
so,
the quotient of 8 and the difference of a number and 5 is
![=(8)/(x-5)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/9yfd1muhybrksukueczctvtoa5t5zegorv.png)
now, it is multiplied by -3
and we get
![=-3* (8)/(x-5)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/h7cqrmaasvmlslf2eans6p8aieg21ckasx.png)
and this must be atleast -16
so, we get
![-3* (8)/(x-5)\geq -16](https://img.qammunity.org/2020/formulas/mathematics/middle-school/9riwdzonb7gaguxdc88vbikd6i4xpr1hqo.png)
so,
we can see that
The inequality symbol is translated incorrectly. The words “at least” should be represented as greater than or equal to instead of greater than
There should be x-5 instead of x+5