   # Graphing Calculator Activities Use a graphing calculator to check your graphs for Problems 1-30. For Problems 1-30, graph each of the inequalities. (Objective 1) x − y &gt; 2 x + y &gt; 4 x + 3 y &lt; 3 2 x − y &gt; 6 2 x + 5 y ≥ 10 3 x + 2 y ≤ 4 y &gt; 2 x + 1 y &lt; − 2 x + 3 y ≤ − 3 x − 2 y ≥ 3 x − 4 2 x − y &lt; − 2 x + 3 y ≤ − 6 y ≤ − x + 2 y ≥ − 2 x − 1 y &gt; − x y &lt; x 2 x − y ≥ 0 x + 2 y ≥ 0 − x + 4 y − 4 ≤ 0 − 2 x + y − 3 ≤ 0 y &gt; − 3 2 x − 3 2 x + 5 y &gt; − 4 y &lt; − 1 2 x + 2 y &lt; − 1 3 x + 1 x ≤ 3 y ≥ − 2 x &gt; 1 and y &lt; 3 x &gt; − 2 and y &gt; − 1 x ≤ − 1 and y &lt; 1 x &lt; 2 and y ≥ − 2 ### Intermediate Algebra

10th Edition
Jerome E. Kaufmann + 1 other
Publisher: Cengage Learning
ISBN: 9781285195728

#### Solutions

Chapter
Section ### Intermediate Algebra

10th Edition
Jerome E. Kaufmann + 1 other
Publisher: Cengage Learning
ISBN: 9781285195728
Chapter 7.2, Problem 38PS
Textbook Problem
1 views

## Graphing Calculator ActivitiesUse a graphing calculator to check your graphs for Problems 1-30.For Problems 1-30, graph each of the inequalities.(Objective 1) x − y > 2 x + y > 4 x + 3 y < 3 2 x − y > 6 2 x + 5 y ≥ 10 3 x + 2 y ≤ 4 y > 2 x + 1 y < − 2 x + 3 y ≤ − 3 x − 2 y ≥ 3 x − 4 2 x − y < − 2 x + 3 y ≤ − 6 y ≤ − x + 2 y ≥ − 2 x − 1 y > − x y < x 2 x − y ≥ 0 x + 2 y ≥ 0 − x + 4 y − 4 ≤ 0 − 2 x + y − 3 ≤ 0 y > − 3 2 x − 3 2 x + 5 y > − 4 y < − 1 2 x + 2 y < − 1 3 x + 1 x ≤ 3 y ≥ − 2 x > 1 and y < 3 x > − 2 and y > − 1 x ≤ − 1 and y < 1 x < 2 and y ≥ − 2

To determine

To check:

The graphs for the given equations with the help of a graphing calculator.

### Explanation of Solution

Given:

The given equations are as follows,

xy>2; x+y>4; x+3y<3; 2xy>6; 2x+5y10; 3x+2y4; y>2x+1; y<2x+3; y3x2; y3x4; 2xy<2; x+3y6; yx+2; y2x1; y>x; y<x; 2xy0; x+2y0; x+4y40; 2x+y30; y>32x3; 2x+5y>4; y<12x+2; y<13x+1; x3; y2; x>1 and y<3; x>2 and y>1; x1 and y<1; and x<2 and y2.

Approach:

Use a graphing utility to check the graphs for the given equations.

• Press Y= and enter the equation.
• Press left arrow key twice to move the cursor left to the graph style icon and press ENTER repeatedly to select the style.
• Press GRAPH button to display the final graph.

Calculation:

Figure (1) displays graph for the given equation xy>2,

Figure (1)

Use graphing calculator as shown to check the graph of equation xy>2, shown in figure (1).

Press Y= and enter the equation.

Press left arrow key twice to move the cursor left to the graph style icon and press ENTER repeatedly to select the style.

Figure (2)

Figure (3)

Press GRAPH button to display the final graph.

Figure (4)

Figure (5) displays graph for the given equation x+y>4,

Figure (5)

Use graphing calculator as shown to check the graph of equation x+y>4, shown in figure (5).

Press Y= and enter the equation.

Press left arrow key twice to move the cursor left to the graph style icon and press ENTER repeatedly to select the style.

Figure (6)

Press GRAPH button to display the final graph.

Figure (7)

Figure (8) displays graph for the given equation x+3y<3,

Figure (8)

Use graphing calculator as shown to check the graph of equation x+3y<3, shown in figure (8).

Press Y= and enter the equation.

Press left arrow key twice to move the cursor left to the graph style icon and press ENTER repeatedly to select the style.

Figure (9)

Press GRAPH button to display the final graph.

Figure (10)

Figure (11) displays graph for the given equation 2xy>6,

Figure (11)

Use graphing calculator as shown to check the graph of equation 2xy>6, shown in figure (11).

Press Y= and enter the equation.

Press left arrow key twice to move the cursor left to the graph style icon and press ENTER repeatedly to select the style.

Figure (12)

Press GRAPH button to display the final graph.

Figure (13)

Figure (14) displays graph for the given equation 2x+5y10,

Figure (14)

Use graphing calculator as shown to check the graph of equation 2x+5y10, shown in figure (14).

Press Y= and enter the equation.

Press left arrow key twice to move the cursor left to the graph style icon and press ENTER repeatedly to select the style.

Figure (15)

Press GRAPH button to display the final graph.

Figure (16)

Figure (17) displays graph for the given equation 3x+2y4,

Figure (17)

Use graphing calculator as shown to check the graph of equation 3x+2y4, shown in figure (17).

Press Y= and enter the equation.

Press left arrow key twice to move the cursor left to the graph style icon and press ENTER repeatedly to select the style.

Figure (18)

Press GRAPH button to display the final graph.

Figure (19)

Figure (20) displays graph for the given equation y>2x+1,

Figure (20)

Use graphing calculator as shown to check the graph of equation y>2x+1, shown in figure (20).

Press Y= and enter the equation.

Press left arrow key twice to move the cursor left to the graph style icon and press ENTER repeatedly to select the style.

Figure (21)

Press GRAPH button to display the final graph.

Figure (22)

Figure (23) displays graph for the given equation y<2x+3,

Figure (23)

Use graphing calculator as shown to check the graph of equation y<2x+3, shown in figure (23).

Press Y= and enter the equation.

Press left arrow key twice to move the cursor left to the graph style icon and press ENTER repeatedly to select the style.

Figure (24)

Press GRAPH button to display the final graph.

Figure (25)

Figure (26) displays graph for the given equation y3x2,

Figure (26)

Use graphing calculator as shown to check the graph of equation y3x2, shown in figure (26).

Press Y= and enter the equation.

Press left arrow key twice to move the cursor left to the graph style icon and press ENTER repeatedly to select the style.

Figure (27)

Press GRAPH button to display the final graph.

Figure (28)

Figure (29) displays graph for the given equation y3x4,

Figure (29)

Use graphing calculator as shown to check the graph of equation y3x4, shown in figure (29).

Press Y= and enter the equation.

Press left arrow key twice to move the cursor left to the graph style icon and press ENTER repeatedly to select the style.

Figure (30)

Press GRAPH button to display the final graph.

Figure (31)

Figure (32) displays graph for the given equation 2xy<2,

Figure (32)

Use graphing calculator as shown to check the graph of equation 2xy<2, shown in figure (32).

Press Y= and enter the equation.

Press left arrow key twice to move the cursor left to the graph style icon and press ENTER repeatedly to select the style.

Figure (33)

Press GRAPH button to display the final graph.

Figure (34)

Figure (35) displays graph for the given equation x+3y6,

Figure (35)

Use graphing calculator as shown to check the graph of equation x+3y6, shown in figure (35).

Press Y= and enter the equation.

Press left arrow key twice to move the cursor left to the graph style icon and press ENTER repeatedly to select the style.

Figure (36)

Press GRAPH button to display the final graph.

Figure (37)

Figure (38) displays graph for the given equation yx+2,

Figure (38)

Use graphing calculator as shown to check the graph of equation yx+2, shown in figure (38).

Press Y= and enter the equation.

Press left arrow key twice to move the cursor left to the graph style icon and press ENTER repeatedly to select the style.

Figure (39)

Press GRAPH button to display the final graph.

Figure (40)

Figure (41) displays graph for the given equation y2x1,

Figure (41)

Use graphing calculator as shown to check the graph of equation y2x1, shown in figure (41).

Press Y= and enter the equation.

Press left arrow key twice to move the cursor left to the graph style icon and press ENTER repeatedly to select the style.

Figure (42)

Press GRAPH button to display the final graph.

Figure (43)

Figure (44) displays graph for the given equation y>x,

Figure (44)

Use graphing calculator as shown to check the graph of equation y>x, shown in figure (44).

Press Y= and enter the equation.

Press left arrow key twice to move the cursor left to the graph style icon and press ENTER repeatedly to select the style.

Figure (45)

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