Math 1324 – Standalone – Test 2 Review _ 1-33
Math 1324 – Standalone – Test 2 Review _ 1-33

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Section 7.1 Homework Problems ALL

University: Houston Community College

Course: Mathematics for Business & Soc. Sci (MATH 1324)

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4/9/2019 Section 7.1 Homework

https://xlitemprod.pearsoncmg.com/api/v1/print/math 1/1

Student: _____________________

Date: _____________________

Instructor: Malika Martin

Course: MATH 1324 SPR 2019

(CRN19819)

Assignment: Section 7.1 Homework

Graph the inequality.

y x> 7 − 14

To graph the inequality, first replace the inequality symbol with

an equal sign and graph the related equation.

y x= 7 − 14

First, find two points. The value of y for the first point is . Find

the x-coordinate of the point.

7

x = 0

Plot the first point, ( , ).0 7

Now find another point on the line. The new value for y is . − 7

The x-coordinate for this point is .1

Plot ( , ).1 − 7

If the inequality symbol is < or >, draw a dashed line to show

that points on the line are not solutions of the inequality.

If the inequality symbol is or , draw a solid line to show that

points on the line are solutions of the inequality.

≥ ≤

Since the inequality is , then use a dashed line.>

The graph consists of a shaded half-plane that is either above

or below the line. If the line is solid, the line is also considered

part of the graph.

To determine which half-plane to shade select a point that is

not on the line as a test point. Substitute the coordinates of the

point in the equation to determine whether that point is a

solution.

A test point is ( , ).4 5

Now complete the graph. If the point is a solution, shade the

half-plane containing the test point. If not, shade the opposite

half-plane.

Since the point is a solution, shade the half-plane above and

to the right of the line.

This is the completed graph.

-10 -8 -6 -4 -2 2 4 6 8 10

-10

-8

-6

-4

-2

2

4

6

8

10

x

y

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