Express linear inequalities graphically and algebraically

Express linear inequalities graphically and algebraically

Linear inequalities can be represented both graphically and algebraically. In this lesson, we will learn how to express linear inequalities as an equation and on a number line.

Lessons

  • 1.
    Express the following inequalities algebraically.
    a)

    Express linear inequalities graphically

    b)

    Express linear inequalities graphically on a number line

    c)

    Express linear inequalities graphically on a number line


  • 2.
    Graph each inequality on a number line.
    a)
    3.63.6 > x x

    b)
    x347x \le - 3\frac{4}{7}

    c)
    y11y \le 11

    d)
    55 < 16 - \frac{1}{6}x


  • 3.
    Find the possible values of xx on a number line.
    a)
    x6x \ge 6 and x11x \le 11

    b)
    xx > 237 2\frac{3}{7} and x5x \le 5

    c)
    x3.6x \ge - 3.6 and x0.25x \le 0.25

    d)
    xx > 7 -7 and x312x \le - 3\frac{1}{2}


  • 4.
    A Christmas tree must be 2 feet or taller so that the farmers will cut it down and sell it in the market.
    a)
    Use a number line to express the situation.

    b)
    Express the situation in a statement.


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