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3-81.

Solve each of the following inequalities for the given variable. Represent your solutions on a number line.  

  1.  

    Line graph, shaded on a number line, starts with an opened circle, on 0, with an arrow pointing left.

  2.  

    When you divide both sides of an inequality by a negative number,
    it reverses or 'flips' the sign. Here is an example of why that works:

    true statement
    multiply both sides by
    statement is no longer true
    reverse the inequality sign to make it true

    This also works with division by a negative number.

    Add to both sides.

    Divide both sides by .


    Did you remember to reverse the inequality sign?

    A line graph, shaded on a number line, starts with a closed circle, on negative 4, with an arrow pointing left.