Concept Byte: Exponential and Logarithmic Inequalities
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Rewrite the inequality as two functions.
x ≤ - 2
Next, by pushing 2nd and GRAPH, we get a table of values for whole numbers of x. Note that we are looking for x-values that makes the Y_1-column less than or equal to 8.
From the table, we see that at x=- 2 the value of the exponential function becomes exactly 8. Therefore, the solution to the inequality has to be all values of x that are less than or equal to - 2. x ≤ - 2