The graph of an inequality in two variables is the set of points that represents all solutions to the inequality. A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality. The boundary line is dashed for > and < and solid for ≤ and ≥. The half-plane that is a solution to the inequality is usually shaded.
Example:
Is (1, 2) a solution to the inequality
2x+3y>1
2times1+3times2>1
2+5>1
7>1
Answer:

Step-by-step explanation:
Arc BC is the intercepted arc for the central angle COB, so its measure is the <u>same</u> as the central angle.
Angle 2 is an inscribed angle, so its measure is <u>half</u> the measure of the intercepted arc BC.
Angles 3 and 4 are congruent inside an isosceles triangle (OB = OC, both radii), and the sum of all angles in triangle COB is 180 degrees, so
180 - 32 = 148 (sum of angles 3 and 4)
Each of angles 3 and 4 measure half that remaining 148 degrees.
Angle 5 is one of two congruent angles in an isosceles triangle AOC (OA = OC) so its measure is that of angle 2.
Answer:
24/5
Step-by-step explanation: