Write the set of points from -4 to 3 but excluding -1 and 3 as a union of intervals

In this question, we have to write a set of points  from -4 to 3 but excluding -1 and 3 as a union of intervals .

Set of points from -4 to 3 can be written as

But we need to exclude -1 and 3 and write the final answer in union of sets .

So we put -1 and 3 in the intervals and put () with these numbers, that is

And that's the final answer .

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.

answer: you need to organize this better it does not make sense.

step-by-step explanation: ?