Question

Analyze the set below and complete the instructions that follow.
C= {x|x<-42}
Use set-builder notation to define the complement of the set. U=R.
A. C^c=Ø
B. C^c={c|c<=-42}
C. C^c={x|x>=-42}
D. C^c={x|xeR}

Answer 1

Answer:

C

Step-by-step explanation:

Given: the set is defined as $C=\left \{ x|x<-42 \right \}$

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 $C=\left \{ x|x<-42 \right \}$,

$C^c=\left \{ x|x\geq -42 \right \}$

Option C is correct.