Given:
The set is:
![R=\{a,b,c\}](https://tex.z-dn.net/?f=R%3D%5C%7Ba%2Cb%2Cc%5C%7D)
To find:
The number of subsets in set R.
Solution:
Formula for number of subsets in a set of
elements is
Number of subsets =
...(i)
We have,
![R=\{a,b,c\}](https://tex.z-dn.net/?f=R%3D%5C%7Ba%2Cb%2Cc%5C%7D)
Here, the number of elements are 3. Putting
in (i), we get
Number of subsets = ![2^3](https://tex.z-dn.net/?f=2%5E3)
= ![8](https://tex.z-dn.net/?f=8)
Therefore, the number of subsets is 8 and the subsets are
and
.
The value of x in the equation is 23.
<h3>How to solve equation?</h3>
46 / x = 2
The equation above have one solution because the value of x is a single value.
46 / x = 2
cross multiply
2x = 46
divide both sides by 2
2x / 2 = 46 / 2
x = 23
A value of x that makes an equation true is 23, which when substituted into the equation and simplified makes the equation turn into x = 23.
A value of x that makes an equation false is 46, which when substituted into the equation and simplified makes the equation turn into x = 46.
learn more on equation here: brainly.com/question/24964043
#SPJ1