Destiny K.

asked • 08/15/13

How do I solve inequality and graph them

Example:4+2(-8p-1)_>-94

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Ekarin P. answered • 08/15/13

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James M.

You have not flipped the inequality sign when dividing by -16 at step 4, and therefore this answer is incorrect. Please check and fix.

4+2(-8p-1)> -94

2(-8p -1) > -98         Good subtract 4 from both sides.

-16p - 2 > -98          Good, clear parenthesis by distributing the 2 to -8p and -1.

-16p > -96               Good, Add 2 to both sides to clear -2 from the left side.

p > -96/-16              Wrong, yes divide both sides by -16, but remember to flip                                   the inequality sign here, because you are dividing by a

                               negative number.

p  < -96/-16              This is better and now the solution is:

P  <  6     

CHECK, pick a number less than 6, say 4.

4 + 2(-8(4)-1) > -94

4  + 2(-32-1) > -94

4  + 2(-33)  > -94

4  + -66      > -94

        -62 > -94, a true statement, so 4 works, as will any number < 6.

If you try a number > 6, say 8. it will lead to:

-126 > -94 and UNtrue statement.

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08/15/13

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