Question

Hi, i need help with question 1 of my Precalculus homework.

Answer 1

The interval notation uses the form (x1,x2) and it depends on whether the interval includes or does not includes the limits. if the interval includes the limit then we use the notation [x1,x2].

a. Since neither of the endpoints is included in the inequality the interval notation should be

c. The inequality includes all numbers that are less to 4 but does not include number -4, the interval notation should be

`-4>x=(-\infty,-4)`

d. The solution for the inequality includes two solutions, then we write both separately and unite them together. The interval notation should be

`-4\le x<-1or0e. The interval notation should be between numbers 5 and 100 [tex]\lbrack5,100\rbrack`

f. The numbers should be all less than pi, but it does not include pi

`(-\infty,\pi)`

g. all numbers greater or equal to 3

`\lbrack3,\infty)`

h. All numbers less or equal to -2

`(-\infty,-2\rbrack`

i. All numbers greater than 0, but it does not include 0

`(0,\infty)`

j. all numbers less than e but it does not include e

`(-\infty,e)`