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Chapter 3: Q33. (page 146)

Write the verbal sentence as an inequality. Also, solve the equation

鈥淎 number divided by -3 is less than 6.鈥�

Short Answer

Expert verified

The equation is x-3<6 and the solution of inequality is x<-18.

Step by step solution

01

Step -1 - Apply the concept of linear equations

In this, simply use the concept of understanding the problem and their words very carefully and also take a suitable variable to make equation and also do various mathematical operation to get the solution.

02

Step -2 – Find the inequality by explaining the statement

Here, The statement A number divided by -3is at most 6.

From the above, Let the number be x.

Then, according to statement of question, the inequality is x-3<6.

03

Step -3 – Finding the solution of equation for x

Now, The inequality is x-3<6.

Simply multiplying by -3, to both side of the equation,

x鈭�3<6x鈭�3脳鈭�3<6脳鈭�3x<鈭�18

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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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