Hotmath

Title:
Hotmath
Author:
Hotmath
Chapter: Linear Equations and Inequalities Section: Graphing Linear Inequalities

Problem: 1

Solve for y .

3 x + y –2

Problem: 3

Solve for y .

4 x + 5 y 9

Problem: 5

Use the graph of y 3 x – 1 shown.

Is (1, 3) a solution of the inequality?

Problem: 7

Find the ordered pair(s) that is a solution to the inequality, y 4 – x .

a. (–3, 3) b. (7, –2) c. (2, 2)

Problem: 9

Find the ordered pair(s) that is a solution to the inequality, 3 x y – 5.

a. (9, 15) b. (3, 9) c. (–1, –7)

Problem: 11

Express the equation of the boundary line in slope–intercept form. Say whether the boundary line is solid or dashed.

y – 4 5 x

Problem: 13

Express the equation of the boundary line in slope–intercept form. Say whether the boundary line is solid or dashed.

6 x – 3 y 12

Problem: 15

Give the equation of the boundary line.

2 x + y –5

Problem: 17

Give the equation of the boundary line.

x y – 5

Problem: 19

Draw the graph of the inequality.

y 5 x – 4

Problem: 21

Draw the graph of the inequality.

y x + 7.

Problem: 23

Draw the graph of the inequality.

x y 8

Problem: 25

Draw the graph of the inequality.

x – 3 y –15

Problem: 27

Draw the graph of the inequality.

x + y 8

Problem: 29

Draw the graph of the inequality.

6 x + 3 y 18

Problem: 31

Draw the graph of the inequality.

4 y – 5 3 x – 6

Problem: 33

Draw the graph of the inequality.

3( x + y ) 5 x + 9

Problem: 35

Is the graph shown the graph of the following inequality?

–2 x y –1

Problem: 37

Show all the solutions of the problem by graphing a linear inequality.

A number is greater than or equal to four times another number . Find the numbers.

Problem: 39

Graph the inequality which represents the statement:

The sum of one number and three times another number is less than 15.

List several solutions.

Problem: 41

Give an inequality describing the given graph.

Problem: 43

Give an inequality describing the given graph.