Final answer:
To solve the inequality -2x > -48, divide both sides by -2 and reverse the inequality sign, which results in x < 24, meaning that x must be less than 24.
Step-by-step explanation:
The inequality that represents all possible values for x in -2x > -48 is solved by isolating x on one side of the inequality.
To do this, we divide both sides of the inequality by -2.
However, when dividing or multiplying both sides of an inequality by a negative number, we reverse the inequality sign.
Therefore, the inequality becomes:x < 24
This means that the value of x must be less than 24 for the inequality to hold true.