Chapter 0.12, Problem 12E

To determine

Write a variable, write an inequality and solve the inequality.

Answer to Problem 12E

Variable is x

Inequality equation: $x-4>-1$

  $x>3$

Explanation of Solution

Given:

A number decreased by 4 is more than − 1

Concept Used:

Let the number be x.

Translate the statement into an inequality equation.

A number decreased by 4 is more than − 1: $x-4>-1$

Calculation:

The inequality equation: $x-4>-1$

Solve for x:

  $\begin{array}{l}x-4>-1\\ x-4+4\le -1+4\\ x>3\end{array}$

  $\begin{array}{l}\text{Check}\text{the}\text{solution}\text{when}x=5\\ x-4>-1\\ 5-4>-1\\ 1>-1[\text{True}\text{Statement}]\end{array}$

Thus, the solution of the inequality equation $x-4>-1$ is $x>3$