to support a shelf, the diameter of a bolt can measure anywhere from 0.2 cm less than 1.5 cm to 0.2 cm…

Explanation:

Step1: Calculate the lower - bound

The lower - bound of the diameter of the bolt is $1.5−0.2 = 1.3$ cm.

Step2: Calculate the upper - bound

The upper - bound of the diameter of the bolt is $1.5 + 0.2=1.7$ cm.

Step3: Analyze the graph

The correct graph should have a closed - interval (since the values can be equal to the bounds) from $1.3$ to $1.7$. The first graph has endpoints at $1.2$ and $1.8$ which is incorrect. The second graph has open endpoints which is incorrect as the values $1.3$ and $1.7$ are included. The third graph has the correct closed - interval from $1.3$ (represented as $1.2$ to $1.4$ with the correct endpoint being included) to $1.7$ (represented as $1.6$ to $1.8$ with the correct endpoint being included). The fourth graph has open endpoints.

Answer:

The third graph.