Final answer:
The range of the random variable X is from negative infinity to infinity.
Step-by-step explanation:
The range of the random variable X, representing the number of heads minus the number of tails in ten coin tosses, can be determined by finding the minimum and maximum values that X can take.
Since there is no maximum limit to the number of heads or tails, the maximum value of X can be infinity. Similarly, there is no minimum limit to the number of heads or tails, so the minimum value of X can be negative infinity.