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41

Step-by-step Answer
PAGE: 254SET: ExercisesPROBLEM: 41
Please look in your text book for this problem Statement

The inequality is .

      (Distributive property:)

           (Divide:)

           (Commutative property:)

                  (Add:)

Apply subtraction property of inequality:Subtract 8 from each side.

     (Commutative property:) 

               (Additive inverse property: )

                 (Subtract: )

       (Divide each side by 2)

               (Cancel common terms)

                    (Multiply:)

     (Multiply each side by negative one and flip the symbol) 

                           (Product of two same signs is positive sign)

 Graph the solution set on a number line

number line diagram inequality_x_greater_than_8

Note: A circle means that this point is not included in the solution set.

 Check:

To Check, substitute a number greater than 8 in

      (Substitute )

         (Distributive property:)

                 (Divide:,)

                       (Additive inverse property: )

                              (Additive inverse property: )

The inequality is true.

The inequality solution set is .



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