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Rezolvati,in numere naturale,inecuatiile:
A) 2*(5x-12)≤6
B)6*(2x-3)-4≤14
c)3*(x-1)<12
d)3*(2x-7)+3<2*(2x-1)+6
e)7*(2x-1)≤49
f)4*(5x-12)-22≤3*(6x-4)+8
VA ROG AJUTATI-MA DAU 50 DE PUNCTE !!


Răspuns :

lasa punctele. vezi daca intelegi
A) 2*(5x-12)≤6
10x-24
≤6
10x≤6+24
10x≤30=> x≤30:10=>x≤3 adica x∈(minus infinit; 3]

B)6*(2x-3)-4≤14
12x-18-4
≤14
12x-22≤14
12x≤14+22
12x≤36=>x≤26:12=>x≤3 deci x∈(minus infinit; 3]

c)3*(x-1)<12
3x-3<12
3x<12+3
3x<15=>x<15:3=>x<5 deci x
∈(minus infi nit; 5)

d)3*(2x-7)+3<2*(2x-1)+6
6x-21+3<4x-2+6
6x-18<4x+4
6x-4x<+4+18
2x<22=>x<22:2=>x<11 deci x
∈(minus infinit;11)

e)7*(2x-1)≤49
14x-7
≤49
14x≤49+7
14x≤56=>x≤56:14=>x≤4 deci x∈(minus infinit, 4]

f)4*(5x-12)-22≤3*(6x-4)+8
20x-48-22
≤18x-12+8
20x-70≤18x-4
20x-18x≤-4+70
2x≤66
x≤66:2
x≤33 deci x∈(minus infinit;33]