Set and Interval
Notation
!
Set Notation
!  Using inequalities to describe your solution set (aka set notation)
!  This means “x is an element of all real numbers” ________
!  Union of Sets: __________
What do the two sets both have in total?
!  Intersection of Sets : ___________
What do the two sets both have in common?
Graph the following:
!  1) _________, x ≠ 2, 7
!  2) x ≤ 4 or x > 5
Interval Notation:
!  Endpoints are NOT included in the set.
!  Ex: (5, ∞) is the same thing as x > 5
!  Endpoints are included in the set.
!  Ex: [5,10] is the same thing as 5 ≤ x ≤ 10
!  Write this set of real numbers in interval notation from the
graph:
Interval Notation can contain
union of sets with the union
symbol
!  For these set of points:
!  We would write the solution set in interval notation as…
(-∞, -3)U[3,∞)
!  We would write the solution set in set builder notation as…
{x/x <-3 or x ≥ 3}
Graph some examples…
!  (3 , ∞)
!  [-2 , ∞)
!  (-∞ , ∞)
More Examples…
!  [-4 , 7)
!  (-14 , 2]
Now go backwards…
!  1)
!  2)
!  3)
Write the interval..
!  4)
!  5)
What’s Next???
!  Now work with your team to complete the half sheet and
turn it in before you leave today!
!  Then there is a packet on set and interval notation to
continue to work in your groups. These will be due
tomorrow. Please ask me for help if you need it!!