solving a system of linear inequalities

given the system of inequalities:
\4x - 5y \le 1\
\\frac{1}{2}y - x \le 3\

which shows the given inequalities in slope-intercept form?

option 1:
\y \le \frac{4}{5}x - \frac{1}{5}\
\y \le 2x + 6\

option 2:
\y \ge -\frac{4}{5}x + \frac{1}{5}\
\y \ge 2x + 6\

option 3:
\y \ge \frac{4}{5}x - \frac{1}{5}\
\y \le 2x + 6\

Question

solving a system of linear inequalities

given the system of inequalities:
\4x - 5y \le 1\
\\frac{1}{2}y - x \le 3\

which shows the given inequalities in slope-intercept form?

option 1:
\y \le \frac{4}{5}x - \frac{1}{5}\
\y \le 2x + 6\

option 2:
\y \ge -\frac{4}{5}x + \frac{1}{5}\
\y \ge 2x + 6\

option 3:
\y \ge \frac{4}{5}x - \frac{1}{5}\
\y \le 2x + 6\

Accepted Answer

# Answer:
The third option:
$$\begin{aligned} y &\ge \frac{4}{5}x - \frac{1}{5} \ y &\le 2x + 6 \end{aligned}$$

Sovi.AI - AI Math Tutor