Solve the inequality Write the solution set in interval nota

Solve the inequality. Write the solution set in interval notation. |x + 2| > 8 A) (6, infinity) C) (-10, 6) Find the distance between the pair of points. (5, -7) (3, -3) A) 2 squareroot 5 B) 6

Solution

|x+2| >8

(x+2) >8

x> 6

-(x+2) >8

-x-2>8

x< -10

Solution ( -inf , -10) U (6 , inf)

Distance between ( 5, -7) and (3, -3)

d = sqrt[ (x2- x1)^2 + (y2- y1)^2]

= sqrt[ (3 -5)^2 + (-3 +7)^2]

= sqrt[ 4 +16]

= sqrt20

= 2sqrt5