+0  
 
+3
185
1
avatar

if 2<x<3  and 3<y<4 ,then the range of $${\frac{{\mathtt{x}}}{{\mathtt{y}}}}$$ is?

Guest Nov 17, 2014

Best Answer 

 #1
avatar+91469 
+5

if 2<x<3  and 3<y<4 ,then the range of  $${\frac{{\mathtt{x}}}{{\mathtt{y}}}}$$  is?

 

Well the highest value would be the biggest x over the smallest y :  3/3=1  (not inclusive)

and the lowsest value would be smallest x over the biggest y :  2/4=0.5      (not inclusive)

So the range would be  (0.5,1)

 

NOW lets look at it a different way.

$$\frac{x}{y}=k\qquad\mbox{where k is a constant}$$      

if 2<x<3  and 3<y<4

------------------------

I am going to graph this useing Desmos but I will need to change the letters used

y=a/b where  2<a<3  and 3<b<4

https://www.desmos.com/calculator/hap7do8n66

If you play with the sliders you will see the same result.  (It is the value of y)

Melody  Nov 17, 2014
Sort: 

1+0 Answers

 #1
avatar+91469 
+5
Best Answer

if 2<x<3  and 3<y<4 ,then the range of  $${\frac{{\mathtt{x}}}{{\mathtt{y}}}}$$  is?

 

Well the highest value would be the biggest x over the smallest y :  3/3=1  (not inclusive)

and the lowsest value would be smallest x over the biggest y :  2/4=0.5      (not inclusive)

So the range would be  (0.5,1)

 

NOW lets look at it a different way.

$$\frac{x}{y}=k\qquad\mbox{where k is a constant}$$      

if 2<x<3  and 3<y<4

------------------------

I am going to graph this useing Desmos but I will need to change the letters used

y=a/b where  2<a<3  and 3<b<4

https://www.desmos.com/calculator/hap7do8n66

If you play with the sliders you will see the same result.  (It is the value of y)

Melody  Nov 17, 2014

1 Online Users

We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details