Absolute Values: Defining, Calculating, and Graphing

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  • Опубликовано: 19 дек 2024

Комментарии • 51

  • @sneakyboii732
    @sneakyboii732 2 года назад +39

    Man, it's already been a month since I started watching your vids on geometry and algebra and I can already feel the smartness oozing out of my brain.🧠

    • @jasonruzicka7954
      @jasonruzicka7954 4 месяца назад +3

      My brain used to heat up and now it self-evolved to a cooling process better known as 'not sucking at life.'

  • @ewoud7638
    @ewoud7638 6 месяцев назад +14

    For anyone struggling to find the last two comprehension. Know that before you start trying to solve x, you have to get the absolute value by itself. Example: |2x +8| -2 = 14 becomes |2x +8| = 16. Now from here you have to split it into two equations, |2x +8| = 16 and |2x +8| = -16. From here you can just simply solve it like before. Goodluck

    • @thirihz1511
      @thirihz1511 6 месяцев назад +2

      omg, thank you so much for your cmt. I was struggling to find the answer and did not know where i went wrong. Thanks a lot

    • @MohamedSalman159.
      @MohamedSalman159. 4 месяца назад +2

      Thanks for helping!

    • @Arconic_Tower
      @Arconic_Tower 4 месяца назад +1

      Thank You ! ❤

    • @chanpiggy3938
      @chanpiggy3938 3 месяца назад +1

      thanks!

    • @misslayer999
      @misslayer999 2 месяца назад +1

      Thanks!!!

  • @gopikrishnan376
    @gopikrishnan376 Год назад +8

    Answer of 3rd comprehension (negative case) :
    --------------------------------------------------
    We start with the equation |2x + 8| - 2 = 14. Substituting -(2x + 8) for |2x + 8|, we have -(2x + 8) - 2 = 14.
    To solve this equation, we simplify it step by step:
    * Distribute the negative sign to each term inside the parentheses: -2x - 8 - 2 = 14.
    * Combine like terms: -2x - 10 = 14.
    * Add 10 to both sides to isolate the variable term: -2x = 24.
    * Finally, divide both sides by -2 to solve for x: x = -12.

    • @GuidelinesViolator
      @GuidelinesViolator 8 месяцев назад +1

      How to understand when i have to substitute?

    • @misslayer999
      @misslayer999 7 месяцев назад

      Thanks for clarifying this

  • @ruqki8739
    @ruqki8739 2 года назад +9

    i grew to love math because your videos made me appreciate the beauty and importance of the subject. just a little more and soon, i'll be laughing my ass off at some math jokes 🤣anyways, thank you so much, professor dave! please continue to feed others with knowledge and curiosity :)

  • @PsychoPills-yx3lc
    @PsychoPills-yx3lc Час назад

    These videos are so easy to grasp and I love that!

  • @littleretroship6403
    @littleretroship6403 2 года назад +4

    1:10 does it apply to imaginary numbers? If so, how does it work, does -i become i or does it become something like -1 or 1.

  • @basketguitar9768
    @basketguitar9768 9 месяцев назад +2

    I can feel the math coming inside of me

  • @chrishelbling3879
    @chrishelbling3879 6 месяцев назад +1

    3:43 Reflected across the y axis?

  • @manikandansethu3128
    @manikandansethu3128 3 года назад +9

    Hello Dave, can you explain me what is the application of this absolute value

    • @blueseaswhiteskies
      @blueseaswhiteskies 8 месяцев назад +3

      I'm a little bit late, however I'll answer to you. As an engineer, when we're calculating areas with integrals, we use absolute values. Depending on the functions we'll have to work with, the value might be negative. Notwithstanding, it's impossible to have a negative area. That's why's it important to have a mathematical tool like absolute value

  • @hillarybantu4378
    @hillarybantu4378 2 года назад +3

    Hey Prof. Thank you for the work you do, very much appreciated. Will you look into discreet mathematic topics. I would love to see your video tutorials on topics like logic, truth tables, combinations, series and sequences or any one of these. Thank you

  • @anybody7528
    @anybody7528 5 лет назад +3

    THANKS A LOT GOOD EXPLAINING

  • @rahulchittur908
    @rahulchittur908 7 лет назад +8

    Are you going to make videos for inequalities?

  • @knownstranger2570
    @knownstranger2570 3 года назад +11

    How does he knows everything, like literally science, maths, psychology, space stuff every subject that I study, what are his study qualifications?

    • @bananprzydawka7129
      @bananprzydawka7129 3 года назад +14

      his study qualifications are yes.

    • @Agrxssive
      @Agrxssive 2 года назад +2

      because he doesnt waste time on games and other stuff he had none back on his time

  • @intriguingstories5452
    @intriguingstories5452 2 года назад +2

    for the 3rd question l2x+8l=14 i keep getting 4 and -10 not 4 and -12 any idea why?

    • @jovanabogdanovic2680
      @jovanabogdanovic2680 2 года назад +1

      I got the solution by dealing with the -2 first since its not absolute, you get 16 and then you turn it into -16 (since its the second solution with a negative sign) and -16 -8 is -24 /2 is -12

    • @meryemtib948
      @meryemtib948 2 года назад

      |2x+8| - 2 = 14
      if |2x+8| >= 0
      then
      u use it as it is
      2x + 8 - 2 = 14 ----------> x = 4
      but if
      |2x + 8| -2x = 14 +10 -------> x = 24/-2 x = -12

    • @meryemtib948
      @meryemtib948 2 года назад

      @@jovanabogdanovic2680 hi at first i thaught your method is wrong but i descovered it is right and more easy

    • @arkan7rb
      @arkan7rb Год назад

      @@meryemtib948 and how would i know if |2x+8| >= 0 or |2x + 8|

  • @ridmicmeena4123
    @ridmicmeena4123 2 года назад +2

    Can anyone explain how the last two Questions are done

    • @xezed
      @xezed 2 года назад +1

      You need to move absolute value to one side of the equation and numbers to another.
      Then it is the same as the first two.

    • @arkan7rb
      @arkan7rb Год назад

      @@xezed even when i have moved the numbers and asolute value to sides it didnt work correct like the first two, but when seeing @meryemtib948 solution it make sense but cant understand how and when or at what point to calculate if |2x+8| >= 0 or |2x + 8|

  • @junaidsabri9367
    @junaidsabri9367 2 года назад

    Sir can you explain curvilinear coordinates ??
    I will be thankful to you🙏

  • @N9TN9
    @N9TN9 3 года назад +9

    only 9 comments, that's sad

  • @arkan7rb
    @arkan7rb Год назад

    am really stunned with the comprehensions always couple of them doing them wrong and cant understand if it me doing something wrong or incomplete info how to solve them in the video, read all the comments seems there is another way if its with another variable and needs to evaluate if the absolute value is more or less than 0 to apply the negative it seems the correct one but how to implement it dont know hmmmm

  • @himanshupandey1480
    @himanshupandey1480 7 лет назад +5

    Please upload videos weekly🙏

    • @ProfessorDaveExplains
      @ProfessorDaveExplains  7 лет назад +13

      buddy, i upload one every single day!

    • @himanshupandey1480
      @himanshupandey1480 7 лет назад

      i know but i want you to upload videos weekly not daily as it can help your videos to get views ..
      _

    • @ProfessorDaveExplains
      @ProfessorDaveExplains  7 лет назад +22

      i have too much content to upload once a week, i want to get this math up there for people who need it and so i can move on to other topics, otherwise it would take me several years to even finish just the math series.

    • @himanshupandey1480
      @himanshupandey1480 7 лет назад +8

      Ok then.. Love from India 😇

  • @mattbodie5990
    @mattbodie5990 2 года назад +1

    I did not get the same answers for the last two...No idea why

    • @huzaifaali3969
      @huzaifaali3969 2 года назад

      Yeah,me too the third one is x=4 and x=-10,And the fourth one x=20 and x=-20

    • @ta_ogboy9998
      @ta_ogboy9998 Год назад +3

      @@huzaifaali3969 You gotta move the negative 2 first and then do the absolute value, and it's the same with 10. Absoulte value on one side and the other numbers on the other side.

    • @ivorscott
      @ivorscott 7 месяцев назад

      |x -10| +10 =20
      x-10+10=20
      x = 20
      (x-10)-(+10)=-20
      x-10-10=-20
      x=0

  • @gloriasarkar3776
    @gloriasarkar3776 5 лет назад

    Can you please help me solving this
    2|1/3(x-2)|+3

  • @mamadwali4278
    @mamadwali4278 4 месяца назад

    ❤❤

  • @qanimfarah1796
    @qanimfarah1796 3 месяца назад

    the answers to the last 2 are wrong in 1 case each

  • @mustafasaber5076
    @mustafasaber5076 2 месяца назад

    x = 5, -11 x = 3, -11/3
    x = 4, -10 x = 0, -40