1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

How to draw the function x+5<7

  1. Aug 12, 2013 #1
    I am just interested in knowing, how to draw the function x+5<7 in a cartesian plane.
    Since the definition of a function is, If For a certain input, there exist an out, then it is a function.
    Is x+5<7 is a valid function then?
     
  2. jcsd
  3. Aug 12, 2013 #2

    micromass

    User Avatar
    Staff Emeritus
    Science Advisor
    Education Advisor
    2016 Award

    What you wrote is an inequality, not a function.
     
  4. Aug 12, 2013 #3
    If the inequality has only one variable (as yours does), you would graph the solution on a number line. If the inequality has two variables (x and y), then you could graph the solution on a Cartesian plane.
     
  5. Aug 15, 2013 #4

    HallsofIvy

    User Avatar
    Staff Emeritus
    Science Advisor

    To draw a graph of this inequality, first draw the graph of the corresponding equation. x+ 5= 7. That. of course, is the same as "x= 2". It's graph, in a two dimensional "xy" graph, is the vertical line at x= 2. The set of points for which x+ 5< 7 is the set of points for which x< 2. That is, all points to the left of that vertical line.
     
  6. Aug 16, 2013 #5
    But if we take y=(x+5) and then, draw the graph, wouldn't it give different results??
     
  7. Aug 17, 2013 #6

    arildno

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member
    Dearly Missed

    True.
    Of the simple reason that the first inequality does not place any sort of restrictions on the y-coordinate in the points' (x,y) coordinate pairs.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: How to draw the function x+5<7
  1. How to draw (Replies: 1)

Loading...