Pearson Algebra 2 Common Core, 2011
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Pearson Algebra 2 Common Core, 2011 View details
Concept Byte: Exponential and Logarithmic Inequalities
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Exercise 17 Page 485

Rewrite the inequality as two functions.

x ≤ - 2

Practice makes perfect
To solve the inequality using a table, we first have to create functions out of the inequality's left-hand and right-hand sides. y=2(4)^(x+3) and y=8 To enter them in your calculator, push Y= and write the equations in the first two rows.
Window with inequality

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.

Window with inequality

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