Chapter 1: Q43. (page 38)

Define a variable and write an inequality for each problem and then solve.
The difference of one half of a number and 7is greater than or equal to5.

Short Answer

Expert verified

The inequality is: $\frac{x}{2} - 7 \geq 5$

Value of the number is localid="1647863667662" $x \geq 24$

Step by step solution

- Define the variable.

A variable is a term that is used to represent an unknown value.

- Write the inequality.

From given, let the number from whose half 7 is subtracted be $x$ .

As the difference is greater than equal to 5.

So, the inequality is:

$\frac{x}{2} - 7 \geq 5$

- Solve the inequality.

To simplify this inequality, use addition property and the multiplicative property.

$\begin{matrix} \frac{x}{2} - 7 \geq 5 \\ \frac{x}{2} - 7 + 7 \geq 5 + 7 \\ \frac{x}{2} \geq 12 \\ x \geq 24 \end{matrix}$

Therefore, the inequality is $\frac{x}{2} - 7 \geq 5$ and the value of $x$ is localid="1647863637767" $x \geq 24$ .

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Define a variable and write an inequality for each problem and then solve.
The difference of one half of a number and 7is greater than or equal to5.

Short Answer

Step by step solution

- Define the variable.

- Write the inequality.

- Solve the inequality.

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Define a variable and write an inequality for each problem and then solve.The difference of one half of a number and 7is greater than or equal to5.

Short Answer

Step by step solution

- Define the variable.

- Write the inequality.

- Solve the inequality.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Statistics

Probability and Statistics

Theoretical and Mathematical Physics

Mechanics Maths

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Define a variable and write an inequality for each problem and then solve.
The difference of one half of a number and 7is greater than or equal to5.