To find an equivalent form of the compound inequality 44 < 2x < 88, we need to isolate the variable x. We can do this by dividing all parts of the inequality by 2.
Here’s the step-by-step breakdown:
- Start with the original compound inequality: 44 < 2x < 88.
- Divide each part of the inequality by 2:
- 44 / 2 = 22
- 2x / 2 = x
- 88 / 2 = 44
- This simplifies the inequality to: 22 < x < 44.
Thus, the equivalent form of the compound inequality 44 < 2x < 88 is 22 < x < 44.
This equivalent form indicates that the value of x lies between 22 and 44, exclusive of both endpoints. It’s important to understand these inequalities visually as well, which can aid in grasping the range of possible values for x.