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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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