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Q4.

Expert-verified
Pre-algebra
Found in: Page 139
Pre-algebra

Pre-algebra

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.

n+7>3

The solution for the inequality is n>-4.

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 n+7>3.

Here, to simplify this inequality, subtract 7 to both side on the above

n+7>3n+77>37n>4

Step- 3 - Check the expression to verify the inequality

Since, in the expression n>-4

So, this expression means that the value of n should be greater than -4.

So, Put -3,-2,-1,.......soon in n+7>3 to check whether the inequality hold or not

Put n=-3 in inequality,

n+7>33+7>34>3

It holds the equation

Again, put n=-2 in equality

n+7>32+7>35>3

It also holds the inequality.

So, the expression n>-4 correctly holds the inequality.

Graphical Interpretation

Following is the graph of the expression n>-4 to get the proper graphical representation to know the points.

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