In Exercises 65-68, write the given sentences as a system of inequalities in two variables. Then graph the system. 65. The sum of the x-variable and the y-variable is at most 4. The y-variable added to the product of 3 and the x-variable does not exceed 6. 66. The sum of the x-variable and the y-variable is at most 3. The y-variable added to the product of 4 and the x-variable does not exceed 6. 67. The sum of the x-variable and the y-variable is no more than 2. The y-variable is no less than the difference between the square of the x-variable and 4. 68. The sum of the squares of the x-variable and the y-variable is no more than 25. The sum of twice the y-variable and the x-variable is no less than 5.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter6: Systems Of Linear Equations And Inequalities
Section: Chapter Questions
Problem 8SGR
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In Exercises 65-68, write the given sentences as a system of
inequalities in two variables. Then graph the system.
65. The sum of the x-variable and the y-variable is at most 4. The
y-variable added to the product of 3 and the x-variable does
not exceed 6.
66. The sum of the x-variable and the y-variable is at most 3. The
y-variable added to the product of 4 and the x-variable does
not exceed 6.
67. The sum of the x-variable and the y-variable is no more than 2.
The y-variable is no less than the difference between the
square of the x-variable and 4.
68. The sum of the squares of the x-variable and the y-variable
is no more than 25. The sum of twice the y-variable and the
x-variable is no less than 5.
Transcribed Image Text:In Exercises 65-68, write the given sentences as a system of inequalities in two variables. Then graph the system. 65. The sum of the x-variable and the y-variable is at most 4. The y-variable added to the product of 3 and the x-variable does not exceed 6. 66. The sum of the x-variable and the y-variable is at most 3. The y-variable added to the product of 4 and the x-variable does not exceed 6. 67. The sum of the x-variable and the y-variable is no more than 2. The y-variable is no less than the difference between the square of the x-variable and 4. 68. The sum of the squares of the x-variable and the y-variable is no more than 25. The sum of twice the y-variable and the x-variable is no less than 5.
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