Question

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 greater than 1.5 cm. which graph represents the possible measures of the diameter of the bolt?

Explanation:

Step1: Analyze the inequality

The diameter \(d\) of the bolt satisfies \(0.2\lt d\lt1.5\).

Step2: Check the number - line representations

• Open circles are used for inequalities with \( <\) or \(>\) (not including the endpoint).
• The number - line should have an open circle at \(0.2\) and an open circle at \(1.5\), and the line segment between them (since \(d\) is between \(0.2\) and \(1.5\)).

Answer:

The third number - line (the one with open circles at \(1.2\) and \(1.8\) in the original number - line context, but based on the inequality \(0.2\lt d\lt1.5\), the correct graph has open circles at the endpoints of the interval \((0.2,1.5)\) and a line segment connecting them) represents the possible measures of the diameter of the bolt.