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.

Table of contents

Skip topic navigation

0. Fundamental Concepts of Algebra3h 32m
1. Equations and Inequalities3h 27m
2. Graphs1h 43m
3. Functions & Graphs2h 17m
4. Polynomial Functions1h 54m
5. Rational Functions1h 23m
6. Exponential and Logarithmic Functions2h 28m
7. Measuring Angles40m
8. Trigonometric Functions on Right Triangles2h 5m
9. Unit Circle1h 19m
10. Graphing Trigonometric Functions1h 19m
11. Inverse Trigonometric Functions and Basic Trig Equations1h 41m
12. Trigonometric Identities 2h 34m
13. Non-Right Triangles1h 38m
14. Vectors2h 25m
15. Polar Equations2h 5m
16. Parametric Equations1h 6m
17. Graphing Complex Numbers1h 7m
18. Systems of Equations and Matrices3h 6m
19. Conic Sections2h 36m
20. Sequences, Series & Induction1h 15m
21. Combinatorics and Probability1h 45m
22. Limits & Continuity1h 49m
23. Intro to Derivatives & Area Under the Curve2h 9m

1. Equations and Inequalities

Linear Inequalities

Precalculus

1. Equations and inequalities

Linear Inequalities

Previous problemNext problem

Struggling with Precalculus?

Join thousands of students who trust us to help them ace their exams!Watch the first video

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

Previous problemNext problem

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.