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Solve An Inequality Graphically
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Solve An Inequality Graphically
1.
Using a Graphing
Calculator Solve an Inequality Graphically
2.
Question??? Solve sinx
> logx.
3.
Step 1: Insert
Equations
4.
Step 2: Graph
Equation Change zoom settings to fit the intercepts between functions on the screen.
5.
Step 3: Find
Intercepts Between Graphs Press [2nd] [TRACE] and select [intersect]. Press enter on each side of the intercept you want to calculate.
6.
Step 4: Repeat
the last step for all intercepts. Records results. Intercepts at points: (2.70, 0.43), (7.33, 0.87), and (8.26, 0.92)
7.
Step 5: Look
at the graph and record intervals where sinx > logx. (0, 2.70) (7.33, 8.26)
8.
Step 6: Check
results. Re-enter the equations, this time as an inequality. To get the symbol > press [2nd] [MATH]. Then select the symbol.
9.
Step 9: Change
settings. Press [MODE], select [Dot].
10.
Step 10: Graph
and Trace The calculator plots y-value 1 when the inequality is true. If you press [TRACE] you can then scroll to the end point and check you answers.
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