Chapter ISG, Problem 5.1.2.11P

To determine

To define a variable, write and solve an inequality

Answer to Problem 5.1.2.11P

Variable is $x$

  $18-x\le 10$

And

  $x\ge 8$

Explanation of Solution

Given information:

18 minus a number is no more than 10.

Calculation:

Let the number be $x$

18minus a numberis equal to $18-x$

It is given that 18 minus a number is no more than 10.

So the Inequality becomes:-

  $18-x\le 10$

On adding variable x on both sides

  $18-x+x\le 10+x$

So,

  $18\le 10+x$

On subtracting 10 from both sides

  $18-10\le 10+x-10$

Hence,

  $8\le x$

Thus,

  $x\ge 8$