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Found in: Page 140


Book edition Common Core Edition
Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff
Pages 183 pages
ISBN 9780547587776

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Short Answer

Solve the inequality. Graph and check your solution.


The solution for the inequality is x<-1.

See the step by step solution

Step by Step Solution

Step -1 - Apply the concept of Linear inequalities

In this type of inequality, Simply use the property of addition or subtraction of suitable number on both Left Hand Side & Right Hand Side to maintain the inequality and also the variable & numbers should be at the different sides in the equation.

Step -2 – Find the value of n by solving the inequality

Since, the equality is x+4<3.

Here, to simplify this inequality, subtract -4 to both side on the above


Step- 3 - Check the expression to verify the inequality

Since, in the expression x<-1

So, this expression means that the value of x should be smaller than -1.

So, Put -2,-3,-4,-5.......soon in x+4<3 to check whether the inequality hold or not

Put x=-2 in inequality,


It holds the equation

Again, put x=-3 in equality


It also holds the inequality.

So, the expression x<-1 correctly holds the inequality.

Graphical Interpretation

Following is the graph of the expression x<-1 to get the proper graphical representation to know the points.

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