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Chapter 3: Q36. (page 140)

Solve the inequality. Graph your solution.

2.35+p+14.9>49.25

Short Answer

Expert verified

The solution for the inequality is p>32.

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 is 2.35+p+14.9>49.25.

Now,

2.35+p+14.9>49.25p+17.25>49.25

03

Step- 3 – Finding the solution of the inequality

Now, the inequality is p+17.25>49.25.

To solve the inequality, subtract 17.25 to both side of the equation

p+17.25>49.25p+17.25−17.25>49.25−17.25p>32

Graphical Interpretation

Following is the graph of the expression p>32 to get the proper graphical representation to know the points.

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