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

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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).

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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

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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)

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Y1 = x + 5