One inequality involving multiplication with a negative coefficient that has the solution of x ≤ 4 is:
-3x ≥ -12
Dividing both sides by -3, we get:
x ≤ 4
Another inequality involving division with a negative coefficient that has the solution of x ≤ 4 is:
x / (-2) > -2
Multiplying both sides by -2 (and reversing the inequality because we are multiplying by a negative number), we get:
x < 4
Therefore, both of these inequalities have the solution of x ≤ 4.