Question

Analyze the set below and complete the instructions that follow.

C= x<-42
Use set-builder notation to define the complement of the set. U=R.
A. C^c=Ø
B. C^c=c
C. C^c=x>=-42
D. C^c=xeR

Answer 1

C

Explanation:

Given: the set is defined as
`C=\left \x<-42 \right \`

To find: Set builder form of the complement of the set C.

Solution:

A set is a well-defined collection of objects. Set-builder form is used to denote the elements of the set. This form can also be used to express sets using an interval or an equation.

Complement of set A refers to elements not in A.

For
`C=\left \ x`,

`C^c=\left \x\geq -42 \right \`

Option C is correct.