Question

Ajutooor! Rezolvati in N inecuatiile
a) x+1<1
b) 2(x+1)+3>3x
c)x(3x-6)<3xla puterea a 2-a +1

Answer 1

Răspuns:

Explicație pas cu pas:

a)x+1<1

x<1-1

x<0..Dar x ∈ N ->>>x ∈ ∅

b)2(x+1)+3>3x

2x+2+3>3x

5>x->>x<5 ..Cum x ∈ N->>>x ∈{0,1,2,3,4}

c) x(3x-6)<3$x^{2}$+1

3$x^{2}$-6x<3$x^{2}$+1

-6x<1->>>>6x>1->>>>x>$\frac{1}{6}$ ..Cum x∈N->>>> Solutia finala a lui x ∈ N\{0}

Answer 2

Raspuns:

a)x+1<1 ; x<0 ; x € ( - infinit,0 ) ; b)2(x+1)+3>3x ; 2x+2+3>3x ; 2x+5>3x ; 2x-3x>-5 ; -x>-5 ; x<5 ; x € ( - infinit,0 ) ; c)x(3x-6)<3x²+1 ; 3x²-6x<3x²+1 ; -6x<1 ;

$x > - \frac{1}{6}$

x € (-1/6,+infinit)

Explicație pas cu pas: