How to use Interval Notation (parentheses) & [brackets] ALGEBRA

𝙃𝙤𝙬 𝙏𝙤 𝙎𝙤𝙡𝙫𝙚 𝙒𝙤𝙧𝙙 𝙋𝙧𝙤𝙗𝙡𝙚𝙢𝙨

When you solve algebraic inequalities, you’ll get a range of answers instead of just one number. In that case, you can visualize the solutions as an interval on the Real Number Line. To learn more about using the Number Line to draw intervals (using open & closed circles), watch this video:

But there's another kind of notation you can use instead

When you want to draw out an interval represented by a less than sign or a greater than sign, meaning the number is NOT included in the interval, you use an open circle. When you want to include the endpoint (representing a less than or equal to sign, or a greater than or equal to sign), you use a closed circle.

We’ll show examples of all the possible situations of open intervals and closed intervals on the Real Number Line in this video!
Stay tuned for the next video in the series: Interval Notation, which is another way to write out solutions to algebraic equations that involve a range of values. Be sure to SUBSCRIBE so you don’t miss it.

𝙅𝙪𝙢𝙥 𝙩𝙤 𝙩𝙝𝙚𝙨𝙚 𝙨𝙚𝙘𝙩𝙞𝙤𝙣𝙨 𝙞𝙣 𝙩𝙝𝙚 𝙫𝙞𝙙𝙚𝙤:
0:00 Intervals on Real Number Line Quick Review
0:44 Using Inequalities instead
0:55 Using Interval Notation instead
0:57 Example 1: (-2,3]
1:54 Example 2: (0,pi)
2:08 Example 3: [-3, 0.5]
2:23 Example 4: [-1,1)
2:42 Including infinity
4:23 Why use parentheses? Answer in comments!

𝙑𝙊𝘾𝘼𝘽𝙐𝙇𝘼𝙍𝙔 𝙏𝙀𝙍𝙈𝙎 𝙞𝙣 𝙩𝙝𝙞𝙨 𝙫𝙞𝙙𝙚𝙤:
interval
interval notation
parenthesis
parentheses
square brackets
infinity

𝙒𝙚 𝙧𝙚𝙘𝙤𝙢𝙢𝙚𝙣𝙙 𝙩𝙝𝙚 𝙛𝙤𝙡𝙡𝙤𝙬𝙞𝙣𝙜 𝙧𝙚𝙨𝙤𝙪𝙧𝙘𝙚𝙨:

𝙃𝙤𝙬 𝙏𝙤 𝘽𝙚 𝙖 𝙂𝙧𝙚𝙖𝙩 𝙎𝙩𝙪𝙙𝙚𝙣𝙩

𝙃𝙤𝙬 𝙏𝙤 𝙎𝙤𝙡𝙫𝙚 𝙒𝙤𝙧𝙙 𝙋𝙧𝙤𝙗𝙡𝙚𝙢𝙨

𝙒𝘼𝙏𝘾𝙃 𝙉𝙀𝙓𝙏:
How Long is that Cat? Algebra Word Problem:

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𝙎𝙞𝙜𝙣 𝙪𝙥 𝙩𝙤 𝙤𝙪𝙧 𝙢𝙖𝙞𝙡𝙞𝙣𝙜 𝙡𝙞𝙨𝙩 𝙛𝙤𝙧 𝙛𝙧𝙚𝙚 𝙝𝙚𝙡𝙥:
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#Math #Algebra #IntervalNotation

[SocraticaHigh]

𝙎𝙞𝙜𝙣 𝙪𝙥 𝙩𝙤 𝙤𝙪𝙧 𝙢𝙖𝙞𝙡𝙞𝙣𝙜 𝙡𝙞𝙨𝙩 𝙛𝙤𝙧 𝙛𝙧𝙚𝙚 𝙝𝙚𝙡𝙥:

[Oliver_jake-zy]

Thank you so much for a valuable lesson it is so helpful!✨

[SocraticaHigh]

4:22 QUESTION: We use parentheses instead of square brackets with the infinity sign—why do you think that is?

[edgarestrada]

This doesn't really help at all. The only thing I understood is closed circles mean brackets and open circles mean parenthesis. What about the graphs that don't show points at all how do I know when the brackets or parenthesis are needed? On the curves? Drops? ETC. This left me more confused? I'm answering all the questions correctly but I'm failing due to the parenthesis brackets mix-ups.