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Senior one math exercise book 1.3 answer
Given the set A = {(x, y) | y =-x+ 1} and the set B = {(x, y) | y A={(X squared-1}, find the intersection of a and b.

AnB={(X,Y)|( 1,0),(-2,3)},

It is known that the set A = {x | x is an acute triangle} and the set B = {x | x is an obtuse triangle}, so find a, cross b, a and b.

An intersection B= an empty set and a union b = {x | x is an oblique triangle},

Given a marriage a = {x | x square +px+ 15 = 0}, let b = {x | x square -5x+q = 0}, a and b = {3} intersect, and find the values of p, q and AUB.

∫a = {3}, ∴3∈A,3∈B,∴3 square +3P+ 15=0, 3 square -5×3+q=0, and the solution is P=-8, q=6.

∴ a = {x | xsquare-8x+15 = 0} = {3,5}, set b = {x | xsquare-5x+6 = 0} = {2,3}

∴AUB={2,3,5},

Given the set a = {x | x is less than or equal to 1}, the set b = {x | x is greater than or equal to a} and AUB=R, find the range of a.

a & lt= 1

It is known that the combination A = {x | 4-x is greater than 2x+ 1}, and r is a real number set, so we can find CRA.

A = {x | 4-x is greater than 2x+ 1} = {x | x = 1},

Given a set A = {1, 4, x}, a set B = {1, the square of x}, AUB=A, find the values of x and sets a and b.

∵AUB=A,∴X squared =4, or x squared =X,

X=2,X=-2,X=0,X= 1。

Because the elements of the set must satisfy mutual anisotropy, it is found that x =-2 and x = 1 do not meet the meaning of the question.

∴X=2,X=0

Given the set A = {x |-2 is less than or equal to x and less than or equal to 4}, the set B = {x |-3 is less than x and less than 2}, and the set C = {x |-3 is less than or equal to x and less than 0}, find AUB, (A passes through b) and c, (A passes through c) and (B passes through c).

Aub = {x |-3 less than x less than or equal to 4},

(a and b cross) and c = {x |-3 is less than or equal to x is less than 2},

(A and C) Intersection (B and c) = {x |-3 is less than or equal to X is less than 2}

Given the set u = {x | x is greater than or equal to 2}, combined with a = {y | 3 is less than or equal to y remainder 4} and the set b = {z | 2 is less than or equal to z is less than 5}, find the intersection of CUA, CUB and b and a.

CUA cross b = {x | 2

CUB union b union a = u = {x | x is greater than or equal to 2}