Question

1)8x+20<3x
2)3(x-3)≤4(2x+1)-3
3)(5-√7)x+5≤√7
4)√3x+4≤1-2√3x

Solutiile trebuie sa se gaseasca in aceasta multime:{-1,0,1,2,3....}

Answer 1

1)8x+20<3x
8x-3x<20
5x<20
x<20:5
x<4

2)3(x-3)≤4(2x+1)-3
3x-9≤8x+4-3
3x-9≤8x+1
-9-1≤8x-3x
-10≤5x
5x≥-10
x≥-2

3)(5-√7)x+5≤√7
(5-√7)x≤√7-5
(5-√7)x≤-(5-√7)
x≤-(5-√7):(5-√7)
x≤-1

4)√3x+4≤1-2√3x

√3x+2√3x≤1-4
3√3x≤-3
x≤-3:3√3
x≤1:√3
x≤1/√3