Question

graph the inequality -3 < x < 6. choose the correct graph below. a. graph options not fully described in text. b. graph options not fully described in text. c. graph options not fully described in text. d. graph options not fully described in text.

Explanation:

Step1: Analyze inequality symbols

The inequality is $- 3\leq x<6$. The $\leq$ at $x = - 3$ means a closed - circle at $x=-3$ and the $<$ at $x = 6$ means an open - circle at $x = 6$.

Step2: Determine the interval on number line

The values of $x$ lie between $-3$ and $6$, including $-3$ but not including $6$. So the graph will have a closed - circle at $-3$, an open - circle at $6$ and a line segment connecting them.

Answer:

The correct graph is the one with a closed - circle at $x=-3$, an open - circle at $x = 6$ and a line segment between them (description of correct option based on given choices, but since options are not fully clear in text, the general idea is of a closed - circle at $-3$, open - circle at $6$ and line segment in - between).