Chapter 1.3, Problem 6OE

To determine

To solve: the equation $x+1=5$

Answer to Problem 6OE

  $x=4$

Explanation of Solution

Given information: $x\in \left\{0,1,2,3,4,5,6\right\}$ .

Calculation:

Given equation is: $x+1=5$ .

Solve for $x=0$ , to get

  $0+1=1\ne 5$

So given value is false.

Solve for $x=1$ , to get

  $1+1=2\ne 5$

So given value is false.

Solve for $x=2$ , to get

  $2+1=3\ne 5$

So given value is false.

Solve for $x=3$ , to get

  $3+1=4\ne 5$

So given value is false.

Solve for $x=4$ , to get

  $4+1=5=5$

So given value is true.

Solve for $x=5$ , to get

  $5+1=6\ne 5$

So given value is false.

Solve for $x=6$ , to get

  $6+1=7\ne 5$

So given value is true.

Therefore, for given equation, the solution is $x=4$ .