Project Math Access DVD 03 - Graphing - Part 07 Transcript Start Audio Description: Part seven; Graph-It; example four; inequalities, less than or equal to. TEACHER: Alright, and your next equation is going to be y<=2x. BRANDON: Entry 1. TEACHER: E chord. BRANDON: I hit my E chord. TEACHER: Right. BRANDON: Y is less than... now in computer braille,... it only accepts computer braille notation, is dots 1, 2, 6 chord... not chord, sorry, grade 2 GH sign TEACHER: Right. BRANDON: in computer braille notation TEACHER: That's the "less than." BRANDON: Less than... or equal to which again is a grade 2 full cell, in computer braille notation. TEACHER: Now, 2x BRANDON: 2X. TEACHER: Okay. Check your display to make sure you wrote the right thing down. BRANDON: Y is less than or equal to 2x. TEACHER: One handy thing about having a braille display on your Braille Lite. BRANDON: Yessss. Very, very handy. TEACHER: So you want to make sure it's in there, so E chord. TEACHER: Great, and then emboss. BLAZER: (buzzing sounds) Audio Description: This graph is similar to the last one, except now, the area below the line is filled with tactile dots. We skip forward to the end of the printing cycle. BRANDON: And it's done... paper advance. TEACHER: Now this one, the equation again was y<=2x. So what would your Y intercept be? BRANDON: It would be 2... TEACHER: No. TEACHER: No, that's your slope. BRANDON: No, no, no. 2's the slope TEACHER: Y intercept would be.... BRANDON: Zero. Yeah. TEACHER: So your first point would be at zero BRANDON: Zero,.... TEACHER: That's the origin.... it's right here.... BRANDON: Yeah,...yeah. Hard to feel with this shaded in stuff. TEACHER: But if you feel though... the shaded is kind of... the dots are a little bit more... loose, if you will. There's more space in between them, rather than on the X and Y axis the lines are solid, the dots are more solid. So you can still feel the Y axis throughout the shading area. BRANDON: Okay. TEACHER: So you have it at zero and then your, uhm... slope is 2. So that would be up 2 and over 1. BRANDON: Up 2, and over 1. TEACHER: Does that feel right? BRANDON: Yep. TEACHER: Okay, So let's compare that line with the Y is less than or equal to 2x as compared to the line where Y is greater than 2x+3. See if you can feel that difference between the two lines. BRANDON: Hmmm, yaaaa. TEACHER: Along the edge of that, and compare it to the edge of that. TEACHER: Do they feel any different? BRANDON: The first one is curvey. TEACHER: First one's a little bit curvier? Okay. So that's showing the broken up... of the line is, as opposed to this one is more solid. BRANDON: Right. TEACHER: So you know that the dotted or dashed line, the broken line means that includes everything except the line, everything greater than the line of all those points and then the one that has less than or equal to... BRANDON: ...including the line. TEACHER: Right, including the line. TEACHER: Excellent.