Write the interval notation for this compound inequality. explain why parenthesis, brackets, etc. x< 4 or x≥8

x<4 or x≥8

Write the interval notation for this compound inequality

x<4 . The value of x is less than 4. but not 4

We should not include 4 because there is no = sign in the inequality

4 is not included so we use parenthesis . x starts from 4 and goes to -infinity

x<4 the interval is (- ∞, 4)

x>=8 . The value of x is less than 4. Also x is equal to 8

We  include 8 because there is  = sign in the inequality

8 is  included so we use square bracket . x starts from 8 and goes to infinity

x>=8 the interval is [8, ∞)

So interval notation is (- ∞, 4) U [8, ∞)

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.