In mathematics, it is often useful to create equations under a condition that allows for "no loss of generality." What does this mean, and why is it useful when deriving an equation?

Which value would be a solution for x in the inequality 47-4x< 7

Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions: y < 4x − 8 y is greater than or equal to negative 5 over 2 times x plus 5 part 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 (5, −8) included in the solution area for the system? justify your answer mathematically. (4 points)

Consider circle o, where and . m∠bpd °. °.