Final answer:
To find the inequality that is true when the value of w is 16, solve the given proportion and check each inequality option.
Step-by-step explanation:
To find the inequality that is true when the value of w is 16, we can solve the given proportion:
1/48 = w/16
To solve for w, we can cross multiply:
1 * 16 = 48 * w
16 = 48w
Divide both sides by 48 to isolate w:
w = 16/48 = 1/3
Now, we can check which inequality is true when w = 1/3:
w > 1/3
Therefore, the inequality that is true when the value of w is 16 is w > 1/3.