Question

02) Resolva as inequações abaixo: a) 2x+5 ≥ -3x+10 b) -3+5x < -2x+9 c) 15+20x > 18x - 3​

Answer 1

Resposta:

S = {x∈R| $x\geq 1$}, S = {x∈R| $x<\frac{12}{7}$} e S = {x∈R| $x>-9$}

Explicação passo a passo

a)$2x+5\geq -3x+10\\2x +3x\geq 10-5\\5x\geq 5\\x\geq \frac{5}{5}\\x\geq 1$

S = {x∈R| $x\geq 1$}

b) $-3+5x<-2x+9\\5x+2x<9+3\\7x<12\\x<\frac{12}{7}$

S = {x∈R| $x<\frac{12}{7}$}

c)$15+20x>18x-3\\20x-18x>-3-15\\2x>-18\\x>-\frac{18}{2}\\x>-9$

S = {x∈R| $x>-9$}

Espero ter ajudado :)