Graphing Number Lines Figure 7.1a For Figure 7.1a, Enter the inequality x < 5 in Y1. The inequality...
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Transcript of Graphing Number Lines Figure 7.1a For Figure 7.1a, Enter the inequality x < 5 in Y1. The inequality...
Graphing Number Lines
Graph the solution
set of 5.xFigure 7.1a
For Figure 7.1a,Enter the inequality x < 5 in Y1. The inequality symbols are found under the TEST menu. The “less than” symbol is option 5.
Y=
For Figure 7.1b,Graph the number line. The calculator will test the inequality for x-values andgraph an ordered pair (x, 1) for a true inequality and (x, 0) for a false inequality.
Figure 7.1b
ZOOM 6
52nd 5TEST
Technology7.1
X,T,,n
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Graphing Number Lines
Graph the solution
set of 5.xFigure 7.1c
For Figure 7.1c,Trace and use the arrow keys to display the coordinates graphed. To check theupper bound of a number line, 5, enter the value while tracing.
TRACE ENTER5
If the upper bound is a solution of the inequality, it will have a y-coordinate of 1. If the upper bound is not a solution of the inequality, it will have a y-coordinate of 0. For x < 5, the upper bound is not a solution and is graphed as (5, 0).
Technology7.1
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Graphing a Linear Inequalityin Two Variables
Graph 5. x y
Figure 7.5aFor Figure 7.5a,Enter the boundary equation y = x + 5 in Y1.
First solve for : 5. y y x
Y= 5+
Since the inequality is “greater than,” shade above the boundary line. Use the left arrow key to move left of Y1.◄ ◄◄◄◄
Choose the “shade above” option. The calculator will display a blinking triangle above a diagonal.
ENTER ENTER
Technology7.5
X,T,,n
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Graphing a Linear Inequalityin Two Variables
Graph 5. x y
Figure 7.5bFor Figure 7.5b,
Graph.
GRAPH
The calculator display shows the shaded graph; it does not show a dashed or solid boundary line.
(-47,47,-31,31)
Technology7.5
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Y1 = x + 5