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Chapter 3: Q .24CT (page 160)

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

鈥淔ifteen is greater than 3 times the difference of a number and 4.鈥�

Short Answer

Expert verified

The equation is 15>3(x-4) and the solution of inequality is x<9.

Step by step solution

01

Step 1.  Apply the concept of linear inequalities

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

02

Step 2.  Find the inequality by explaining the statement

Here, The statement Fifteen is greater than 3times the difference of a number and 4

From the above, Let the number be x.

Then, according to statement of question, the inequality is 15>3(x-4).

03

Step 3.  Finding the solution of inequality for x

Now, The inequality is 15>3(x-4).

Simply open the bracket, adding 12to both side of the inequality and then divide 3to both side

15>3(x鈭�4)15>3x鈭�1215+12>3x鈭�12+1227>3x273>3x39>xx<9

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