I am Pat, Good Legs Lance, and Colorado Bronze are horses in a horse race. Their probabilities of winning the race are as follows:
\text{P(I Am Pat wins}) = \dfrac{3}{10}P(I Am Pat wins)=
10
3

start text, P, left parenthesis, I, space, A, m, space, P, a, t, space, w, i, n, s, end text, right parenthesis, equals, start fraction, 3, divided by, 10, end fraction
\text{P(Good Legs Lance wins}) = 0.6P(Good Legs Lance wins)=0.6start text, P, left parenthesis, G, o, o, d, space, L, e, g, s, space, L, a, n, c, e, space, w, i, n, s, end text, right parenthesis, equals, 0, point, 6
\text{P(Colorado Bronze wins}) = 10\%P(Colorado Bronze wins)=10%

Colorado Bronze , I am pat wins, good legs lance wins

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true