Question

rezolvati in N inecuatia urgent!!
a) 5,6(x-3)-3,2(2-x)<20,8 si b) 4,8(x-4)-3,7(2-x)<24,4

Answer 1

a) 5,6(x-3)-3,2(2-x)<20,8 <=>
<=> 5,6x-16,8-6,4+3,2x<20,8 <=>
<=> 8,8x<20,8+16,8+6,4 <=>
<=>8,8x<44 => x<5 => x∈{0,1,2,3,4}.

b) 4,8(x-4)-3,7(2-x)<24,4 <=>
<=> 4,8x-19,2-7,4+3,7x<24,4 <=>
<=> 8,5x<24,4+19,2+7,4 <=>
<=> 8,5x<51 => x<6 => x∈{0,1,2,3,4,5}.