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

  1. 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?