Question

Oi gente! Alguém poderia me ajudar com essas inequações?
a) 2x + 5 < -3x +40
b) 6(x - 5) -2(4x +2) > 100
Obrigada!! xD

Answer 1

a)
$2x+5\ \textless \ -3x+40 \\ 2x+3x\ \textless \ 40-5 \\ 5x\ \textless \ 40-5 \\ 5x\ \textless \ 35 \\ x\ \textless \ 35/5 \\ x\ \textless \ 7$

b)
$6(x-5)-2(4x+2)\ \textgreater \ 100 \\ 6x-30-2*(4x+2)\ \textgreater \ 100 \\ 6x-30-(8x+4)\ \textgreater \ 100 \\ 6x-30-8x-4\ \textgreater \ 100 \\ -2x-30-4\ \textgreater \ 100 \\ -2x-34\ \textgreater \ 100 \\ -2x\ \textgreater \ 100+34 \\ -2x\ \textgreater \ 134 \\ x\ \textless \ 134/-2 \\x\ \textless \ -67$