7. Systems of Equations & Matrices

Graph the solution set of each system of inequalities.

$e^{x}-y\(\le\)1$

$x-2y\(\ge\)4$

Graph each inequality. x < 3 + 2y

Graph each inequality. y ≤ log(x - 1) - 2

In Exercises 39–45, graph each inequality. y ≤ x^2 - 1

Graph each inequality. x²+y²≤1

Graph each inequality. y≤(1/3)x

In Exercises 69–70, rewrite each inequality in the system without absolute value bars. Then graph the rewritten system in rectangular coordinates. |x|≤2, |y|≤3

Graph the solution set of each system of inequalities.

$2x+3y\le 12$

$2x+3y>-6$

$3x+y<4$

$x\ge 0$

$y\ge 0$

Find the maximum and minimum values of each objective function over the region of feasible solutions shown at the right. objective function = 3x + 5y

Graph the inequality $2x+3y$ < $6$

Graph each inequality. y≥log₂(x+1)

Find the maximum and minimum values of each objective function over the region of feasible solutions shown at the right. objective function = 10y

Graph each inequality. x ≤ 3

In Exercises 39–45, graph each inequality. y ≤ 2^x

Graph the solution set of each system of inequalities or indicate that the system has no solution.

$\(\begin{cases}\)x + 2y \(\leq\) 4 \\(\y\) \(\geq\) x - 3\(\end{cases}\)$