Question

Resolva em IR as inequações: >_ <_ (menor ou igual ou maior ou igual )
a) 2x + 5 <_ 9
b ) x-1 >_4
c)2(x+1)-4 d) 3x+1 > 2(x-5)+9
e) 3x+1 >_ x+1
Deixem os cálculos!

Answer 1

a) $2x+5 \leq 9 \implies2x \leq 4 \implies x \leq 2$

b) $x-1 \geq 4 \implies x \geq 5$

c) ?

d) $3x+1 \ \textgreater \ 2(x-5)+9 \implies 3x\ \textgreater \ 2x-10+9-1 \implies x\ \textgreater \ -2$

e) $3x+1 \geq x+1 \implies 2x \geq0 \implies x \geq 0$