Solve the inequality 8y 5 greaterthanorequalto 14 Decide wh

Solve the inequality. |8y - 5| greaterthanorequalto 14 Decide whether or not the equation has a circle as its graph. If it does, give the center and the radius. If it does not, describe the graph. x^2 +y^2 - 12x + 6y = -29 Select the correct choice below and. if necessary, fill in the answer boxes to complete your choice. The graph of the equation is a circle with center. (Type an ordered pair.) The radius of the circle is The graph of the equation is a point. The graph of the equation is a line. The graph is nonexistent.

Solution

1. | 8y-5| >=14

8y-5 >=14

or y >= 19/8

-(8y-5)>=14

so, (8y-5) <= - 14

y<=-9/8

So, y<=-9/8 and y >=19/8

2. The equation can be decreibed as

(x-6)^2 +(y+3)^2 =16

or (x-6)^2 +(y+3)^2 =4^2

Option A is the right answer. That\' a graph with center 0,0 and radius 4