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The set
S={x∣-3 < x < 4} is described by which interval notation?

[-3,4]

(-3,4]

[-3,4 )

(-3,4)

The set $S=\{x \mid-3<x<4\}$ is described by which interval notation? $\newline$ $[-3,4]$ $\newline$ $(-3,4]$ $\newline$ $[-3,4$ ) $\newline$ $(-3,4)$

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Domain and range of quadratic functions: equations

Full solution

Q. The set

S=\{x \mid-3<x<4\}

is described by which interval notation?

\newline

[-3,4]

\newline

(-3,4]

\newline

[-3,4

)

\newline

(-3,4)

Define inequality: The inequality $-3 < x < 4$ means $x$ is greater than $-3$ and less than $4$ .
Use interval notation: In interval notation, parentheses $\left( \right)$ are used to indicate that an endpoint is not included in the set.
Use parentheses for $-3$ : Square brackets $[$ ] are used to indicate that an endpoint is included in the set.
Use parentheses for $4$ : Since $-3$ is not included, we use a parenthesis: $(-3$ .
Combine for interval notation: Since $4$ is not included, we also use a parenthesis: $4)$ .
Combine for interval notation: Since $4$ is not included, we also use a parenthesis: $4)$ .Combine the two parts to get the interval notation: $(-3, 4)$ .

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