Rewrite the equation by completing the square.
x^2 +7x +12 = 0

(x+7/2)^2-1/4

Step-by-step explanation:

x^2 +7x +12 = 0

Write x^2+7x+12 in the form x^2+2ax+a^2: 2a=7; a=7/2

Add and subtract 7/2^2: x^2+7x+12+(7/2)^2-(7/2)^2

Complete the square: (x+7/2)^2+12-(7/2)^2

Simplify: (x+7/2)^2-1/4

see below

step-by-step explanation:

x+2> 6

subtract 2 from each side

x+2-2 > 6-2

x > 4

there is an open circle at 4 since is it is greater than and the line goes to the right