Graphing linear inequalities in two variables

Graphing linear inequalities in two variables

In this lesson, we will talk about how to solve linear inequalities as well as how to graph the solutions on number lines and the xy plane.

Lessons

  • 1.
    Introduction to Inequalities
    a)
    Graph the solution on a number line:
    x=3x = 3
    x3x \ge 3
    xx > 3 3
    x3x \le 3
    xx < 3 3

    b)
    Graph the solution on the xy-plane:
    x=3x = 3
    x3x \ge 3
    xx > 3 3
    x3x \le 3
    xx < 3 3

    c)
    Graph the solution on the xy-plane:
    y=2y = -2
    y2y \ge -2
    yy > 2 -2
    y2y \le -2
    yy < 2 -2


  • 2.
    Graphing Linear Inequalities in Two Variables
    Graph:
    i)
    y=x1y = x - 1
    ii)
    yx1y \ge x - 1
    iii)
    yy < x1 x - 1

  • 3.
    Graphing Linear Inequalities in Two Variables
    Graph:
    i)
    6x+5y=156x + 5y = 15
    ii)
    6x+5y156x + 5y \ge 15
    iii)
    6x6x +5y + 5y < 1515

  • 4.
    Graph the solution on a number line:
    a)
    x=3x = 3

    b)
    x3x \ge 3

    c)
    xx >3 > 3

    d)
    x3x \le 3

    e)
    xx <3 < 3


  • 5.
    Graph the solution on the xy-plane:
    a)
    x=3x = 3

    b)
    x3x \ge 3

    c)
    xx >3 > 3

    d)
    x3x \le 3

    e)
    xx <3 < 3


  • 6.
    Graph the solution on the xy-plane:
    a)
    y=2y = - 2

    b)
    y2y \ge - 2

    c)
    yy >2 > - 2

    d)
    y2y \le - 2

    e)
    yy <2 < - 2