Express the given set in interval notation and graph. { x x x | 14 ≤ x x x < 26}

Hey, everyone. Let's take a look at this practice problem. So here I wanna express this set in interval notation and then graph it. Now whenever a question asks you to graph a set, you're literally just going to put it on a number line. So looking at this set, I have x such that x is greater than or equal to 14 and less than 26. So thinking about what this would look like in interval notation, that first bound it has a less than or equal to sign so that means that my endpoint here is going to be enclosed in a square bracket. So this will be 14 with a square bracket and then my second endpoint just has a less than sign, so that means my 26, I will just enclose with a parenthesis. And this is my solution in interval notation. Now if I wanna graph the graph this, if I have 14 and then I know that 26 is greater than 14, so it's gonna go on that side, 14 will get a closed circle because it is included in my solution, and then 26 will get an open circle because it is not included in my solution set and then everything in between there as well so I want to indicate that with a line. That's all for this one, I'll see you in the next one.

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1. Equations and Inequalities

Linear Inequalities

Precalculus

1. Equations and Inequalities

Linear Inequalities

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Multiple Choice

Express the given set in interval notation and graph.
{ $x$ | 14 ≤ $x$ < 26}

(14,26)

Number line with a graph

[14,26]

Number line with a graph

[14, 26)

Number line with a graph

(14,26]

Number line with a graph

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Verified step by step guidance

Identify the inequality given: $ 14 \leq x < 26 $. This means $ x $ is greater than or equal to 14 and less than 26.

In interval notation, a square bracket $[$ indicates that the endpoint is included, while a parenthesis $()$ indicates that the endpoint is not included.

Since 14 is included in the set ($ 14 \leq x $), we use a square bracket $[$ at 14.

Since 26 is not included in the set ($ x < 26 $), we use a parenthesis $)$ at 26.

Thus, the interval notation for the set is $[14, 26)$. The correct graph representation is the one with a closed dot at 14 and an open dot at 26.