Marianne collects coffee mugs from places she visits when she goes on vacation. she displays her 87 coffee mugs over her cabinets in her kitchen, including 8 mugs from texas, 4 from georgia, 4 from sc and 8 from california. if one of the coffee mugs accidentally falls to the ground and breaks, what is the probability that it is a california coffee mug?
a. 8/87
b. 4/87
c. 4/39
d. 1/13

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5

y < -3

step-by-step explanation:

-3y - 2 > 7

-3y -2 + 2 > 7+2

-3y > 9

-3y/-3 < 9/-3   (change the inequality sign when multiplying or dividing by a negative number)

y < -3