Express the inequality $- 3

Question

Express the inequality $- 3 < x < 0$ in interval notation
A) $[ - 3,0 )$
B) $[ - 3,0 ]$
C) $( 0,3 )$
D) $( - \infty , - 3 ) \cup ( 0 , \infty )$
E) $( - 3,0 )$

Quizplus · Accepted Answer

In interval notation, we use parentheses to indicate that a value is not included in the interval, and brackets to indicate that it is included. Thus, $[-3,0)$ would mean that -3 is included, but 0 is not, which is not true according to the inequality $-3 < x < 0$. On the other hand, $(0,3)$ and $(-\infty,-3)\cup(0,\infty)$ do not include the point -3. Only option E, $(-3,0)$, correctly indicates that the interval includes all values of x between -3 and 0, without including either endpoint.

Express the Inequality −3<x<0- 3 < x < 0−3<x<0 In Interval Notation A)

Express the Inequality $- 3 < x < 0$ In Interval Notation
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