Question

How would you graph (on a number line) (x-8)(x-8)<0??

Answer 1

Answer:

  The graph is the empty number line (no solution)

Step-by-step explanation:

Your expression is (x-8)² < 0. There are no real numbers that give a negative value when squared. There is NO SOLUTION. The graph is empty.

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Comment on quadratic inequalities

In general the inequality (x-a)(x-b) < 0 will have a solution when one factor is negative and the other is positive. In general, that will be the case for values of x that are strictly between a and b. In your inequality, that would require you graph numbers that are between 8 and 8. There are none.