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What inequality represents this interval? $\newline$ $[-1, 3)$ $\newline$ Choices: $\newline$ (A) $-1 < x \leq 3$ $\newline$ (B) $-1 \leq x \leq 3$ $\newline$ (C) $-1 \leq x < 3$ $\newline$ (D) $-1 < x < 3$

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Interval notation

Full solution

Q. What inequality represents this interval?

\newline

[-1, 3)

\newline

Choices:

\newline

(A)

-1 < x \leq 3

\newline

(B)

-1 \leq x \leq 3

\newline

(C)

-1 \leq x < 3

\newline

(D)

-1 < x < 3

Identify Endpoints: Identify the endpoints of the interval and whether they are included in the interval. The interval is \[\(-1\), \(3\))\$, which means \$\(-1\)\$ is included (as indicated by the square bracket) and \$\(3\)\$ is not included (as indicated by the parenthesis).
Translate to Inequality: Translate the interval into an inequality. Since \(-1\) is included, the inequality must use ＂ $\newline$ leq $＂ for$ $-1$ $. Since$ $3$ $is not included, the inequality must use ＂$ < $＂ for$ $3$ $.
Write Correct Symbols: Write the inequality using the correct symbols. The inequality that represents the interval \([-1, 3)\] is \$-1 \leq x < 3\).

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\Phi

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What interval does this inequality represent?

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\newline

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A physicist measures the energies of atoms

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b

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. Which of the following systems of inequalities best models the possible range of values for the energies of atoms

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B

\newline

1

\newline

\left\{\begin{array}{l}a<2.02 b \\ a>1.98 b\end{array}\right.

\newline

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\left\{\begin{array}{l}b<2.02 a \\ b>1.98 a\end{array}\right.

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