Question

Sendo U=Q, resolva as inequações abaixo.
a) 5(x-2)≤ - 2(x-1)
b) 4-2x >3-3x
c) x-5 ≤ 1-x
d) $\frac{-x}{3}-1\ \textless \ - \frac{1}{5} + \frac{x}{4}$
e) 3x+1 ≤ x-5

Answer 1

a) 5(x-2)≤ - 2(x-1)
5x-10<-2x+2
5x+2x<2+10
7x<12
X<$\frac{12}{7}$

b) 4-2x >3-3x
-2x+3x>3-4
x>-1

c) x-5 ≤ 1-x
x+x<1+5
2x<6? ->2x÷2<6÷2
x<3

d)$\frac{-x}{3}-1\ \textless \ - \frac{1}{5} + \frac{x}{4}$
$60x \frac{-x}{3}-60x1\ \textless \ -60x \frac{1}{5}+60x \frac{x}{4}$
-20x-60<-12+15x
-20x-15x<-12+60
-35x<48
x>$\frac{48}{35}$

e) 3x+1 ≤ x-5
3x-x<-6
2x<-6
x<-3