Question

III. Answer shortly
10. Write the roster form of the set z ={y=1/2u-1:u£N,1 equal to u equal to 4}
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Answer 1

Answer:

Z= {1, 1/3, 1/5, 1/7}

Step-by-step explanation:

my answer is on the top

Answer 2

Concept:

A set's contents can be defined by listing the set's elements inside a set of curly brackets, separated by commas. The roster form is a manner of describing a set.

Given:

$y=\frac{1}{2u-1} , 1\leq u\leq 4$

To Find:

The roster form of $y=\frac{1}{2u-1} , 1\leq u\leq 4$

Solution:

A set is z given to us,

$y=\frac{1}{2u-1}$

Here, u lie between 1 and 4.

We have to write the roster form of the given set, z.

We also know that a set's contents can be defined by listing the set's elements inside a set of curly brackets, separated by commas. The roster form is a manner of describing a set.

So, we will put the values in u one by one

$u=1\\y= \frac{1}{2(1)-1} \\y= \frac{1}{2\\}\\ u=2\\y= \frac{1}{2(2)-1\\} \\y=\frac{1}{3} \\ \\u=3\\y=\frac{1}{2(3)-1} \\y=\frac{1}{5} \\\\u=4\\y=\frac{1}{2(4)-1} \\y=\frac{1}{7}$

∴ The roster form of z is {${1, \frac{1}{3}, \frac{1}{5}, \frac{1}{7} }$}

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