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Chapter 1: Q41. (page 38)

Define a variable and write an inequality for each problem and then solve.

The sum of a number and 8 is more than 2.

Short Answer

Expert verified

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

The inequality is:x+8>2

Value of the number is x>-6

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 added to 8 be x.

As the sum is more than 2.

So, the inequality is:

x+8>2

03

- Solve the inequality.

To simplify this inequality, use subtraction property of inequalities.

Subtract by same number does not change the sign of inequality.

x+8>2x+8鈭�8>2鈭�8x>鈭�6

Therefore, the inequality is x+8>2and the value of xis x>-6.

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