Final answer:
To solve the inequality 4−d < 4+d, subtract 4 from both sides, add d to both sides, and divide both sides by 2 to solve for d. The solution is d > 0.
Step-by-step explanation:
To solve the inequality 4−d < 4+d, we can start by subtracting 4 from both sides of the inequality:
4−d−4 < 4+d−4
-d < d
Next, we can add d to both sides of the inequality:
-d+d < d+d
0 < 2d
Finally, we can divide both sides of the inequality by 2 to solve for d:
0/2 < 2d/2
0 < d
Therefore, the solution to the inequality is d > 0.