Solve the inequality 8z + 3 - 2z < 51

a. z < 5.4
b. z < 8
c. z < 9
d. z < 14

Consider that lines b and c are parallel. what is the value of x? what is the measure of the smaller angle?

The graph of a hyperbola is shown. what are the coordinates of a vertex of the hyperbola? (0, −4) (−3, 0) (0, 0) (0, 5)

Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions: y > 2x + 3y is less than negative 3 over 2 times x minus 4part a: describe the graph of the system, including shading and the types of lines graphed. provide a description of the solution area. (6 points)part b: is the point (â’4, 6) included in the solution area for the system? justify your answer mathematically. (4 points)