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=3(2)^(x+1) and y=5
To enter them in your calculator, push Y= and write the equations in the first two rows.
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 greater than 5.
From the table, we see that Y_1 is equal to 5 somewhere in the interval - 1TblStart to - 0.5 and â–³ Tbl to 0.001.
Having changed the table setup, push 2nd and GRAPH to see the table again. You are going to have to scroll down to find the value where y=5 for the first function.
From the table, we see that at x≈ - 0.268 the value of the exponential function becomes almost 5. Therefore, the solution to the inequality has to be all values of x that are greater than - 0.268.
x > - 0.268
