What inequality represents this interval? (2, 6) Choices: (A)2 < x < 6 (B)2 ≤ x < 6 (C)2 < x ≤ 6 (D)2 ≤ x ≤ 6

Identify Interval Type: Identify the type of interval given. The interval (2, 6) is an open interval because it uses parentheses, which means that the endpoints 2 and 6 are not included in the interval.Translate to Inequality: Translate the open interval into an inequality. Since 2 is not included, the inequality must be strict on the lower bound, using ＂<＂ rather than ＂≤＂. Similarly, since 6 is not included, the inequality must be strict on the upper bound as well.Write Corresponding Inequality: Write the inequality that corresponds to the open interval (2, 6). The correct inequality is 2 < x < 6, which means x is greater than 2 and less than 6.

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What inequality represents this interval? $\newline$ $(2, 6)$ $\newline$ Choices: $\newline$ (A) 2 < x < 6 $\newline$ (B) 2 \leq x < 6 $\newline$ (C) 2 < x \leq 6 $\newline$ (D) $2 \leq x \leq 6$

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Q. What inequality represents this interval?

\newline

(2, 6)

\newline

Choices:

\newline

(A)

2 < x < 6

\newline

(B)

2 \leq x < 6

\newline

(C)

2 < x \leq 6

\newline

(D)

2 \leq x \leq 6

Identify Interval Type: Identify the type of interval given. The interval $(2, 6)$ is an open interval because it uses parentheses, which means that the endpoints $2$ and $6$ are not included in the interval.
Translate to Inequality: Translate the open interval into an inequality. Since $2$ is not included, the inequality must be strict on the lower bound, using ＂<＂ rather than ＂$\newline$leq$＂. Similarly, since $$6$ is not included, the inequality must be strict on the upper bound as well.
Write Corresponding Inequality: Write the inequality that corresponds to the open interval $(2, 6)$ . The correct inequality is 2 < x < 6, which means $x$ is greater than $2$ and less than $6$ .