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Chapter 3: Q35. (page 140)

Solve the inequality. Graph your solution.

5+m+8鈮�14

Short Answer

Expert verified

The solution for the inequality is m鈮�1.

Step by step solution

01

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.

02

Step -2 – Make the inequality in general format

Since, the inequality is5+m+8鈮�14.

Now,

5+m+8鈮�14m+13鈮�14

03

Step- 3 – Finding the solution of the inequality

Now, the inequality is m+13鈮�14.

To solve the inequality, subtract 13 to both side of the equation

m+13鈮�14m+13鈭�13鈮�14鈭�13m鈮�1

Graphical Interpretation

Following is the graph of the expression m鈮�1 to get the proper graphical representation to know the points.

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