Chapter 3.1, Problem 10PPE

To determine

To write: the inequality for statement: three less than g is less than or equal to seventeen.

Answer to Problem 10PPE

The inequality is $g-3\le 17$ .

Explanation of Solution

Given:

Three less than g is less than or equal to 17.

Calculation:

Steps to write an inequality are:

Consider the variable as g.

Subtract 3 from the variable g as 3 is less than g.

  $g-3$

Convert the inequality condition as sign of inequality as less than or equal to changes to $(\le )$ .

Thus, the inequality becomes,

  $g-3\le$

Now add the constant term 17 at the right side as follows:

  $g-3\le 17$

Thus, the inequality is $g-3\le 17$ .