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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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Most popular questions from this chapter

Algebra Basics Solve the equation. Check your solution. (Lesson 2.5)

d-22=-43

Geometry The perimeter of the square is equal to the perimeter of the triangle. The sides of the triangle are equal in length.

  1. Estimate Without doing any calculations, estimate which figure has the greater side length. Explain your choice.
  2. What is the side length and perimeter of each figure?

Find the value of a variable that, when substituted into an inequality, makes a true statement is a(n)鈥︹��.

Solve the inequality. Graph and check your solution.

x+3<7

Check your solution.

2=6h+20
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