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1. (1) If a=empty set, then the unary quadratic equation x mx+3=0 has no solution. That is, the discriminant formula is less than 0
m)^2-12<0
Solution: -2 32}
cr b={x x<-3 or x>2}
cr b a={x x<-3 or x -1}2) should be c and contain a
With the help of the number line, it can be concluded that a should be to the right of -1, that is, a -1, that is, the set of values of a is {a|a≥-1}
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1. x mx+3=0 has a solution.
b²-4ac≥0
m²-12≥0
m 12m 2 plant 3 or m -2 plant 3
The set of b is x=3 substituting a
9-3m+3=0
m=4a is x -4x+3=0
x-3)(x-1)=0
x=3,x=1
a=﹛1,3﹜
2、u=a+cua=(-3,-1,0,1,2,3,4,6) b=u-cub=(-3,1,3,4,6)
3. A is y= x 1 1
The minimum value of y is -1 and a is x -1
b is -3 x 2
ANB is -1 x 2
cr(anb)=(x -1 or x 2);
crb=(x<-3,x>2)
crb)ua=(x -3 or x -1).
2) If the question is correct, you can't solve it, how to get C bigger than A.
If it is contained in then cna=c
a≥-1
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{0,-1,1} is included in {-1,0,1}
That's right, collections are disordered.
0,0)} is the set of points.
And {0} is a set of numbers, so it is not equal.
Note: {(0,0)}
and {0} are not empty sets.
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{0,-1,1} is included in {-1,0,1} and rightly .
The elements of 0,0)} are (0,0) and an empty set.
0} is:
0 and empty sets. So wrong.
You go to the book and read the definition.
Set a = Set B condition.
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The first, equal, is therefore also included in, and the second element of the set on the left is a point, and the element of the set on the right is a number, so it is unequal and is wrong.
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For sets, although -1, -2, and -3 do not belong to 0, then the set does not have the property p
For sets, 1, -2, -3 do not belong, so the set has the property p
So s=so t=
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Yes, because the meaning of can be less than or equal to.
2 3 3 3 3 are all correct.
So a+1 x where a+1 can be equal to x x x can also be equal to 2a-1, so a+1 can = 2a-1
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Yes, a+1=2a-1, a=2, a+1=2a-1=3, and there is only one element in the set that is a=
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1.[a,a) denotes an empty set. i.e. [0,0] does not include 0
2.[5,3] and [3,5] are not equivalent. [5,3] is -5 x 3, which also means an empty set.
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It should be that x is unknown, i.e. a variable, and any x that satisfies x a is desirable. So, b={0,1}.
Hopefully the answer is preferable.
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Because the math multiple-choice questions are chosen. b={x x a} means that b includes all the elements in a.
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X a means that x is an element in a, and x a means that x is a subset of a.
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Let x 2+2x-3=-x 2+2x+15 get x 2=9, and because x n, get x=3.
Bringing x=2 into the equation of the set, we get a b==. It can be brought into another equation to prove that the result is correct. It is important to note that the elements in the set are y, not x.
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Sure the topic is correct, it seems that there is a problem.
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Solution: Since x belongs to n, the solution is a= and b= (both are easiest to multiply by cross), so a intersects b=
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1.It's x -5x+6=0 and his solution is x1=2, x2=3 so the set a=
If b is a true subset of a, then m may be 1 2 and 1 3 m = 2There are several combinations x=2x y=y2; x=y2 y=2x (assuming y2 is y's square).
x1=0 y1=0;x2=0 y2=1;x3=1/4 y3=1/23.I rely on this, there are a lot of combinations, see 2
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A: Don't always take the balance into the pants to stop the dust.
b: [a*(b*a)]*a*b) =b*(a*b) =ac: b*(b*b) =b
d: mark c=(a*b), a*b)*[b*(a*b)] c*[b*c] =b
Categorize 1 to 50 and divide them into 7 divided by 7 and divisible by 7, with 8 remaining 1 and 1 remaining and 7 others. In the same way, the elements of the remaining 2 and the remaining 5 cannot exist at the same time, the remaining 3 and the remaining 4 cannot exist at the same time, and the divisible can only exist in one element at most, so at most there are 8 remaining 1, the remaining 2 or 5 choose one category, the remaining 3 or 4 choose one category, and the divisible one can be selected, a total of 23.
The historical cognitive process is just the opposite, the ancient Egyptian people used arithmetic at will, and after Newton invented calculus, the differentiation and integral operation were also arbitrary, and the existence and continuity of the function limit were not considered at all, and later due to the needs of the development of the discipline and too many loopholes in the original theory, people began to gradually logic and axiomatization, first Weylstrass used -δ language to define the limit, and then used the rational number sequence to define the real number, and after the real number problem was solved, he began to consider how to define the rational number and even the whole number and the natural number, In the same way, Piano made the axiom of natural numbers, after Cantor's set theory came out, all this had to be redefined from set theory, after Russell's paradox appeared, he made axiom set theory zfc, and finally by the Bourbaki school to make it what it is now, here, first define the potential and ordinal numbers of the set, and then derive the Piano axiom of natural numbers from the set axioms, and then derive the addition and multiplication of natural numbers from Piano's axioms, and then use logical equivalence classes to derive integer subtraction and rational number division, Later, the limit operation of real numbers is derived from the sequence of rational numbers, and the later differential, integral, series, etc. are all based on the limit operation, Bourbaki summarized all mathematics into three basic structures: algebraic structure, order structure, topological structure, you can look at "Ancient and Modern Mathematical Thought (1 4 volumes)> or similar works on the history of the development of modern mathematics, mathematics and its understanding" (Gao Longchang) to introduce mathematical ideas to graduate students, very interesting.
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