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Chapter 3: Q .22CT (page 160)

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

鈥淣ine is greater than or equal to 15 minus a number.鈥�

Short Answer

Expert verified

The equation is 9鈮�15-x and the solution of inequality is x鈮�6.

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 Nine is greater than or equal to 15 minus a number.

From the above, Let the number be x.

Then, according to statement of question, the inequality is 9鈮�15-x.

03

Step 3.  Finding the solution of inequality for x

Now, The inequality is 9鈮�15-x.

Simply subtract 15to both side of the inequality and then divide -1to both side and do reverse inequality method

9鈮�15鈭�x9鈭�15鈮�15鈭�x鈭�15鈭�6鈮�鈭�x鈭�6鈭�1鈮�鈭�x鈭�16鈮�xx鈮�6

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