Linear Inequalities
(single variable) 
Example 1: Solve the inequality:

Enter each side of the inequality into
Y_{1
}and Y_{2}

Enter the inequality statement into
Y_{3}:_{
}
(The inequality symbols are under the
TEST
Menu  2nd MATH.)
This step could also be entered as Y_{1}
< Y_{2}.

Graph. Use
the intersect option (2nd Trace #5
Intersect) to find the exact point where the inequality
answer begins.

Do a Boolean Check: Where the
inequality is true, the yvalues on the graph will be a 1.

If you look at the table, 0's will be listed
where the inequality is false and 1's will be listed where the
inequality is true. (arrow to the right to see
additional tables)

Answer: x
< 1

Remember that the calculator cannot draw an open
or closed circle on the intervals. You will have to determine
which circle is needed based upon whether the inequality
includes "equal to".


If you turn off the axes (FORMAT
 2nd ZOOM), you will be able to see the graphing of
the 0's and 1's more clearly. Notice that the small vertical
segment connecting the 0's to the 1's is simply the
calculator being set in "connected" mode.
Change to "dot" mode to eliminate this segment. 

Example 2:
Solve the inequality:
 Enter the inequality into Y_{1
}
 Graph
 If you enter the inequality directly into
Y_{1}, you will see only the Boolean graph.
It may be necessary to look carefully in your
table to find the exact point where the inequality answer
begins.
 Such answers can be found easily if the answers are integer
values. Otherwise, you will want to use the intersect
option mentioned above to find an exact answer.
 Answer:
x < 2
 In this problem, the calculator automatically took care
of reversing the direction of the inequality when solving.


Example 3:
Graph the solution set for 2x
 4 < 8 and x
+ 5 > 7
Algebraic solution: Graphical solution:
Solve each equation separately. The answer will be points
that make BOTH sets true. 

Both
inequalities are entered into Y_{1}
with the use of "and".
Find "and" by
using the CATALOG (2nd
0) or
TEST
(2nd MATH)→ LOGIC, #1 and.



Answer:
2 < x < 6



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