Question

Giúp em vs ạ

Answer 1

a: \(\begin{cases}6x+\frac57>4x+7\\ \frac{8x+3}{2}<2x+25\end{cases}\Rightarrow\begin{cases}6x-4x>7-\frac57\\ 8x+3<4x+50\end{cases}\)

=>\(\begin{cases}2x>\frac{49}{7}-\frac57=\frac{44}{7}\\ 4x<47\end{cases}\Rightarrow\begin{cases}x>\frac{22}{7}\\ x<\frac{47}{7}\end{cases}\Rightarrow\frac{22}{7}

b: \(\begin{cases}15x-2>2x+\frac13\\ 2\left(x-4\right)<\frac{3x-14}{2}\end{cases}\Rightarrow\begin{cases}15x-2x>2+\frac13\\ 4\left(x-4\right)<3x-14\end{cases}\)

=>\(\begin{cases}13x>\frac73\\ 4x-16-3x+14<0\end{cases}\Rightarrow\begin{cases}x>\frac{7}{39}\\ x<2\end{cases}\Rightarrow\frac{7}{39}