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

Guest Nov 17, 2014

#1**+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

#1**+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