Let U be the set contains all the twelve months in the year, that is, U = {Jan. , Feb. , Mar. , · · · , Nov. , Dec.}. Given that set A = {Jan. , Feb. , Mar. , Apr. , May, June} and set B = {Apr. , May , June , July , Aug. , Sep. , Oct.}. Find (a) A\B (b) B\A (c) A ∩ B (d) A ∪ B (e) Ac ∩ Bc (f) Ac ∪ Bc (g) (A ∩ B) c (h) (A ∪ B) c (i) Is the statement “ (A ∪ B) c = Ac ∪ Bc ” true? Verify it. (j) Is the statement “ (A ∩ B) c = Ac ∪ Bc ” true? Verify it.

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation: