Linear Inequalities in Two Variables

$3x - 2y = 8$

$2x + 3y \< 7$

$4x - 5y \geq 12$ (correct)

$x^2 + y^2 = 9$

$(x, y) | x \leq -2, y \leq 3$

$(x, y) | x \geq -2, y > 3$

$(x, y) | x \geq -2, y \geq 3$ (correct)

$(x, y) | x > -2, y < 3$

$3x + 2y > 10$

$2x - 3y \leq 6$ (correct)

$-2x + 3y < 9$

$4x + 5y = 20$

<p>Quadrants I and IV</p> Signup and view all the answers

<p>An inequality in the form of Ax + By &lt; C or Ax + By &gt; C, where A, B, and C are constants and x and y are variables.</p> Signup and view all the answers

<p>The solution set is represented by shading the region of the plane that satisfies the inequality.</p> Signup and view all the answers

<p>If a point satisfies the inequality when its coordinates are substituted into the inequality, then it is in the solution set.</p> Signup and view all the answers

<p>The boundary line can be horizontal, vertical, or slanted, depending on the coefficients of x and y in the inequality.</p> Signup and view all the answers