Chapter 3: Q .22CT (page 160)

Write the verbal sentence as an inequality. Also, solve the inequality
“Nine is greater than or equal to $15$ minus a number.”

Short Answer

Expert verified

The equation is $9 \geq 15 - x$ and the solution of inequality is $x \geq 6$ .

Step by step solution

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.

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 $9 \geq 15 - x$ .

Step 3. Finding the solution of inequality for x

Now, The inequality is $9 \geq 15 - x$ .

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

$\begin{array}{l} 9 \geq 15 - x \\ 9 - 15 \geq 15 - x - 15 \\ - 6 \geq - x \\ \frac{- 6}{- 1} \geq \frac{- x}{- 1} \\ 6 \leq x \\ x \geq 6 \end{array}$

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Write the verbal sentence as an inequality. Also, solve the inequality
“Nine is greater than or equal to $15$ minus a number.”

Short Answer

Step by step solution

Step 1. Apply the concept of linear inequalities

Step 2. Find the inequality by explaining the statement

Step 3. Finding the solution of inequality for x

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Most popular questions from this chapter

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Write the verbal sentence as an inequality. Also, solve the inequality“Nine is greater than or equal to 15 minus a number.”

Short Answer

Step by step solution

Step 1. Apply the concept of linear inequalities

Step 2. Find the inequality by explaining the statement

Step 3. Finding the solution of inequality for x

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Logic and Functions

Calculus

Theoretical and Mathematical Physics

Probability and Statistics

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Write the verbal sentence as an inequality. Also, solve the inequality
“Nine is greater than or equal to $15$ minus a number.”