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Chapter 3: Q31. (page 140)

Solve the inequality. Graph your solution.

b+2.5鈮�2.5

Short Answer

Expert verified

The solution for the inequality is b鈮�0.

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 Sideto maintain the inequality and also the variable & numbers should be at the different sides in the equation.

02

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

Since, the equality is b+2.5鈮�2.5.

Here, to simplify this inequality, subtract 2.5 to both side on the above

b+2.5鈮�2.5b+2.5鈭�2.5鈮�2.5鈭�2.5b鈮�0

Graphical Interpretation

Following is the graph of the expression b鈮�0 to get the proper graphical representation to know the points.

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Driving A family is driving to Houston, Texas. A sign indicates that they are 700 miles from Houston. Their car鈥檚 trip odometer indicates that they are 400 miles from home. They are travelling at an average speed of 60 miles per hour.

  1. Write an expression for the distance (in miles) they will be from Houston in x hours.
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