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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:x2-7鈮�5

Value of the number is localid="1647863667662" x鈮�24

Step by step solution

01

- Define the variable.

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

02

- 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:

x2-7鈮�5

03

- Solve the inequality.

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

x2鈭�7鈮�5x2鈭�7+7鈮�5+7x2鈮�12x鈮�24

Therefore, the inequality is x2-7鈮�5and the value of xis localid="1647863637767" x鈮�24.

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