The minimum value of x will be -14.25.
Explanation:
Let the number be x. Given fifteen subtracted from the product of a number and -4 is at most 32. So, according to this given data, the equation can be written as below,
![-4 * x-15 \leq 32](https://img.qammunity.org/2020/formulas/mathematics/middle-school/dgxdq0isoddmkec5ghqrocex6pgto9obt1.png)
Now first solve this inequality equation,
![-4 x \leq 57](https://img.qammunity.org/2020/formulas/mathematics/middle-school/4a0tjuhk800nkmvrzro01htyehy6kk657q.png)
Now on dividing and multiplying any equality by a negative number then the equality sign will change as
![x \leq\left(-(57)/(4)\right)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/wh9c86qqenzms8g99ru8xpshwmrrv7gfoz.png)
![x \leq-14.25](https://img.qammunity.org/2020/formulas/mathematics/middle-school/otzuv0j7mcx9gbdwrhjf48xhsnc2ke604w.png)
So, the minimum value of x will be -14.25.