Answer:

 

x 2 + 2 x > 3

 

x + 2 x – 3 > 0

 

( x - 1 ) ( x + 3 ) > 0

 

x =1  x = -3

 

x ≤ -3 or x > 1

 

                                                                                               

                                          -3                     1

 

 {x: x  ≤ -3 or x  >1 }, all values of x greater than or equal to 1 or less than or equal to –3.