Answer:
see below
Step-by-step explanation:
2x^2 +2x > -4
Add 4 to each side
2x^2 +2x+4 > -4+4
2x^2 +2x+4 > 0
Factor
2(x^2 +x+2) >0
Divide by 2
2/2(x^2 +x+2) >0/2
(x^2 +x+2) >0
Complete the square
Take the x coefficient divide by 2 and square it
(1/2) then square it = 1/4
(x^2 + x +1/4) +7/4 >0
(x+1/2)^2 +7/4 >0
Subtract 7/4 from each side
(x+1/2)^2 +7/4 -7/4>0-7/4
(x+1/2)^2 >-7/4
This is always true since a quantity squared is greater than a negative quantity
x can be any number
