1. The library set up a special bookshelf for
math-interest books. There are 2 math-
history books, 3 books on statistics, 2 books
on number theory and 2 books on
geometry. If a student selects one book at
random, what is the probability of choosing
a math-history book?

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

answer: y = -2.5x - 15

              (-6,0)

step-by-step explanation: