Enter left side in Y1. You can find abs( ) easily under the directory (above 0) ( or mathematics → NUM, #1 abs( )

Enter right side in Y2

Use the Intersect alternative (2nd CALC #5) to find where the graphs intersect. Relocate the spider near the suggest of intersection, push ENTER. Simply hit go into twice more. You have to repeat this process to uncover the 2nd point the intersection.

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Answer: x = 4; x = -4

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Example 2:Solve:
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Answer: x = 2;x = 3.3333333The x worth is stored in the calculator"s memory. If you wish to change 3.333333333 to a fraction, simply return come the house screen, struggle x, hit Enter. Now, change to fraction. (MATH, #1►Frac) Answer: x = 2;x = 10/3
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Example 3: Solve:
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Answer: x = -.4; x = 2
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i N E Q U A L i T i E S:

Example 4: Solve:

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Boolean Check:

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(The inequality symbols room under the TEST menu - second MATH.)Answer: x x > 5
You could also enter
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( making use of Y1 and Y2 found under Vars →Y-Vars, Function)
wherein the inequality is true, y-values top top the graph will certainly be a 1. If friend look at the table, 0"s will be detailed where the inequality is false and 1"s will certainly be provided where the inequality is true.

Determine exact cut off point out by utilizing the intersection option. Remember the the calculator cannot draw an open up or closeup of the door circle on the intervals. Friend will need to determine which circle is needed based upon whether the inequality contains "equal to". Find the endpoints by utilizing the intersect option (2nd map #5 intersect).

If you revolve off the axes (FORMAT - second ZOOM), friend will be able to see the graphing the the 0"s and also 1"s an ext clearly. Notice that the tiny vertical segment connecting the 0"s come the 1"s is just the calculator being collection in "connected" mode. Adjust to "dot" mode to eliminate this segment.

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You "can" get in the inequality directly. Due to the fact that you will not have actually the two graphs native which to identify the intersection points, girlfriend will have to examine the table to determine the exact value of the open/closed endpoints.

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Example 5:Solve:
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Algebraic solution:
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Answer: The worths that do the compound inequality true are
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Calculator solution: (inequality expression is gotten in using "and") can be uncovered quickly under the magazine (above 0) - or check (2nd MATH)→LOGIC, #1 and>