Question

cum rezolv urmatoarele inecuatiii   a)x+3<4  b)4x<35 c)2x-13<5 d)2la putereax<8 e)13 la puterea x-2>13 la put.2001 f)9 la put x+1<3la put 12

Answer 1

 a)x+3<4x<4-3
x<1
x∈(-α,1)
b)4x<35x<35/4
x<8,75
x∈(-α, 8,75)
c)2x-13<52x<5+13
x<18/2
x<9
x∈(-α,9) d)2^x<8 2^x<2³
x<3e)13^(x-2)>13²⁰⁰¹x-2>2001x>2001+2
x>2003 f)9^(x+1)<3¹²3^2(x+1)<3¹²
2(x+1)<12
2x+2<12
2x<12-2
2x<10
x<10/2
x<5