SOLUTION: <pre><b>Let S = the solution set for x² = 16. and T=the solution set for x+2 = 16. List the elements of each set. a.S <font face = "symbol">Ç</font> T b. S <font face = "symbol

Let S = the solution set for x² = 16.

and T=the solution set for x+2 = 16.

List the elements of each set. 

a.S Ç T b. S È T 
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Answer by AnlytcPhil(1806)   (Show Source): 

You can put this solution on YOUR website!
 
Let S=the solution set for x² = 16.
and T=the solution set for x+2 = 16.
List the elements of each set. 
a.S Ç T b. S È T 

            x² = 16
       x² - 16 = 0
(x - 4)(x + 4) = 0

Set each factor = 0:

Setting x - 4 = 0 gives solution x = 4
Setting x + 4 = 0 gives solution x = -4

So S = {4, -4}

        x + 2 = 16
            x = 14

So T = {14}
            
S È T = {4, -4} È {14}

The union of two sets is the set of every element 
that is either an element of S, an element of T, 
or an element of both sets.

So S È T = {4, -4, 14}

The intersection of two sets is the set of every 
element that is an element of both sets:

S Ç T = {4, -4} Ç {14} = {} or Æ,

that is, the empty or null set, since there are 
no elements that both S and T have in common.

Edwin