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What inequality represents this interval? $\newline$ $(2, \infty)$ $\newline$ Choices: $\newline$ (A) $x \leq 2$ $\newline$ (B) $x > 2$ $\newline$ (C) $x < 2$ $\newline$ (D) $x \geq 2$

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Interval notation

Full solution

Q. What inequality represents this interval?

\newline

(2, \infty)

\newline

Choices:

\newline

(A)

x \leq 2

\newline

(B)

x > 2

\newline

(C)

x < 2

\newline

(D)

x \geq 2

Identify endpoints: Identify the endpoints of the interval $(2, \infty)$ . The endpoints are $2$ and $\infty$ .
Check inclusion: Check whether the finite endpoint is included or not. In the interval $(2, \infty)$ , $2$ is not included because the parenthesis indicates an open interval.
Determine inequality: Determine the inequality that the interval $(2, \infty)$ represents. Since $2$ is not included and the interval extends to infinity, the inequality must be ＂greater than＂ $2$ .
Match with interval: Match the correct inequality with the interval. The interval $(2, \infty)$ corresponds to the inequality $x > 2$ .

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A physicist measures the energies of atoms

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\newline

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\newline

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