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Solve each compound inequality and state the interval solution.

x < 3" and "x >= 2
No answer text provided.
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Solve each compound inequality and state the interval solution. $\newline$ $x<3 \text { and } x \geq 2$ $\newline$ No answer text provided. $\newline$ No answer text provided. $\newline$ No answer text provided.

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Solutions to inequalities

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Q. Solve each compound inequality and state the interval solution.

\newline

x<3 \text { and } x \geq 2

\newline

No answer text provided.

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No answer text provided.

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No answer text provided.

Analyze First Inequality: Analyze the first part of the compound inequality. $\newline$ The first inequality is $x < 3$ , which means that $x$ can be any number less than $3$ .
Analyze Second Inequality: Analyze the second part of the compound inequality. $\newline$ The second inequality is $x \geq 2$ , which means that $x$ can be any number greater than or equal to $2$ .
Combine Inequalities: Combine the two inequalities to find the intersection of the solutions. $\newline$ Since we are looking for values of $x$ that satisfy both inequalities simultaneously, we need to find the intersection of the two sets of numbers. The intersection will be the set of all numbers that are both less than $3$ and greater than or equal to $2$ .
Write Interval Solution: Write the interval solution. $\newline$ The interval solution for the compound inequality is all numbers between $2$ and $3$ , including $2$ but not including $3$ . This can be written in interval notation as $[2, 3)$ .

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