Represent the set in proper way. 1. The set composed of all natural numbers whose remainder is 1 divided by 4. 2. The set composed of the points in the first and second quadrants

Represent the set in proper way. 1. The set composed of all natural numbers whose remainder is 1 divided by 4. 2. The set composed of the points in the first and second quadrants


1. The set is {x | x = 4K + 1, K ∈ n}
2. The set is {(x, y) | x ≠ 0, Y > 0, X ∈ R, y ∈ r}



1. In all natural numbers greater than 2011, how many natural numbers can be divided by 57, and the remainder and quotient are equal? --- --- we assume that the quotient and remainder of the natural number divided by 57 are both a, then the natural number can be expressed as 57A + a = 58a.58a > 2011, that is, a > 2011 / 58 = 35.28, and according to the division rule, the remainder is a


35 < a < 57, a has 21 integer solutions (excluding 35 and 57)



If the smallest one of the five consecutive natural numbers is equal to 1 / 6 of the five numbers, then the five numbers are ()


Make an equation?
Let the minimum number be x, then the sum is 6x
X+(X+1)+(X+2)+(X+3)+(X+4)=6X
5X+10=6X
X=10