Question

Resolva as inequações abaixo:
a)3(2-x)+1≥2(3+x)-4
b)(x-1)(2x+1)<2x(x-3)
c)2(x-1)≥1-3(1-x)

Answer 1

a) 3(2-x)+1 $\geq$2(3+x)-4
    6-3x+1$\geq$6+2x-4
-3x-2x$\geq$-4+6-6-1
-5x$\geq$-5
x$\geq$-5/-5
x$\geq$1

b)(x-1)(2x+1)<2x(x-3)
  2x²+x-2x-1<2x²-6x
2x²-2x²+x+6x<1
7x<1
x<1/7

c) 2(x-1)$\geq$1-3(1-x)
   2x-2$\geq$1-3+3x
   2x-3x$\geq$-2+2
   -x$\geq$0 (=1)
   x$\leq$0