Question

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

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

The inequality is:$\text{x}+\mathbf{8}>\mathbf{2}$

Value of the number is $\text{x}>-\mathbf{6}$

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 added to 8 be $x$.

As the sum is more than 2.

So, the inequality is:

$x+8>2$

- Solve the inequality.

To simplify this inequality, use subtraction property of inequalities.

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

$\begin{array}{c}x+8>2\\ x+8-8>2-8\\ x>-6\end{array}$

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