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, ∞)