Question 1158639
Set A includes the number -2, and all the real numbers between -2 and 5, but not the number 5.
We could say that {{{A="[-2,5)"}}} .

{{{drawing( 400, 300, -10, 10, -10, 10,
locate( -3, 9, number_line( 220, -3, 8) ),
circle( -2, 6.4, 0.25 ),circle( -2, 6.4, 0.2 ),
circle( -2, 6.4, 0.15 ),circle( -2, 6.4, 0.1 ),
circle( 5, 6.4, 0.25 ),
rectangle( -2, 6.37, 4.75, 6.5 ),rectangle( -2, 6.3, 4.75, 6.43 ),
locate( -3, 6, number_line( 220, -3, 8) ),
circle( 6, 3.4, 0.25 ),circle( 6, 3.4, 0.2 ),
circle( 6, 3.4, 0.15 ),circle( 6, 3.4, 0.1 ),
circle( -1, 3.4, 0.25 ),
rectangle( -0.75, 3.37, 6, 3.5 ),rectangle( -0.75, 3.3, 6, 3.43 ),
locate( -3, 2, number_line( 220, -3, 8) ),
circle( 6, -0.6, 0.25 ),circle( 6, -0.6, 0.2 ),
circle( 6, -0.6, 0.15 ),circle( 6, -0.6, 0.1 ),
circle( -2, -0.6, 0.25 ),circle( -2, -0.6, 0.2 ),
circle( -2,-0.6, 0.15 ),circle( -2, -0.6, 0.1 ),
rectangle( -2, -0.63, 6, -0.5 ),rectangle( -2, -0.7, 6, -0.57 ),
locate( -3, -1, number_line( 220, -3, 8) ),
circle( 5, -3.6, 0.25 ),circle( -1, -3.6, 0.25 ),
rectangle( -0.75, -3.63, 5, -3.5 ),rectangle( -0.75, -3.7, 4.75, -3.57 ),
locate(-9,-3,intersection),locate(-8,0,union),
locate(-8,4,Set),locate(-6,4,B),
locate(-8,7,Set),locate(-6,7,A)
)}}}

1. Find A U B and give the answer in interval notation.
The set A U B is the union of sets A and B,
so it contains all the real number that belong to A, or B.
That would include all the numbers in [-2,5) because they belong to set A.
A U B would also include [5,6] because those real numbers belong to set B.
A U B = {{{"[-2,6]"}}} because all the numbers in [-2,6] belong to either A, or B, or both and no other number.
 
2. Write A n (intersection) B as one set using set builder notation
A (intersection) B included all the numbers that belong to both sets A and B, and no other number.
All the numbers between -1 and 5, not including -1 or 5, belong to A and belong to B, and therefore belong to the intersection of A and B.
Those numbers, and no other numbers satisfy {{{-1<x<5}}} .
In set builder notation, that would be  {x|x is a real number and -1<x<5} .