ROOT FUNCTIONS | Solving Radical Inequalities (Page 2 of 2) |
We now interpret the inequality in terms of the function we have graphed. The solution set will be all values of x for which the function Y1 has negative y-values. Let's use TRACE to identify where these values of x are. Since the x-intercept has a y-value equal to 0, it is NOT part of the solution set. The x-values to the left of 27 yield negative y-values. The inequality means that the graph of Y1 must lie below the x-axis. Observing the graph, we see this is true if x is to the left of 27. We must also consider the domain of this function, which is . The inequality is not defined for values of x less than 2.5. So, the solution set for the inequality is , or in interval notation, [2.5, 27). |
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