The minimum value of x will be -14.25.
Step-by-step 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,
[tex]-4 \times x-15 \leq 32[/tex]
Now first solve this inequality equation,
[tex]-4 x \leq 57[/tex]
Now on dividing and multiplying any equality by a negative number then the equality sign will change as
[tex]x \leq\left(-\frac{57}{4}\right)[/tex]
[tex]x \leq-14.25[/tex]
So, the minimum value of x will be -14.25.