Question

Va rog foarte mult ajutatima :(
de rezolvat ecuatiile si inecuatiile in R
a) |x+1|=2
b) 2x<3x+6
c) 3-2x>7x-2

Answer 1

$a).|x+1|=2 \\ x+1=2 \\ x=2-1 \\ x=1 \\ x+1=-2 \\ x=-2-1 \\ x=-3 \\ b).2x\ \textless \ 3x+6 \\ 2x-3x\ \textless \ 6 \\ -x\ \textless \ 6 \\ x\ \textgreater \ -6 \\ x \in (-6; \infty)$
$\displaystyle c).3-2x\ \textgreater \ 7x-2 \\ -2x-7x\ \textgreater \ -2-3 \\ -9x\ \textgreater \ -5 \\ 9x\ \textless \ 5 \\ x\ \textless \ \frac{5}{9} \\ x \in (- \infty; \frac{5}{9} )$