Chapter ISG, Problem 5.2.10P

To determine

To define a variable, write and solve an inequality

Answer to Problem 5.2.10P

Variable is $x$

The inequality can be written as $x÷4\le 10$

Solution of the inequality is $x\le 40$

Explanation of Solution

Given information:

Ten is no more than the quotient of a number and 4.

Calculation:

Let the number be $x$

Quotient of a number and 4 is equal to $x÷4$

It is also given that ten is no more than the quotient of a number and 4.

Therefore the inequality becomes:-

  $x÷4\le 10$

Multiplying both sides by 4

  $x÷4\times 4\le 10\times 4$

The value of the inequality is

  $x\le 40$

Therefore the number is less than or equal to 40.