Chapter 4.5, Problem 76SR

To determine

To find: the inequality of the inequality equation with proper table.

Answer to Problem 76SR

The graph is shown here in red shaded region which doesn’t include dotted line.

Explanation of Solution

Given:

  $\text{2x-3<6}$ .

Concept used:

The graph of a linear inequality produces a region on the coordinate plane with a boundary line.

Every point in that region is the solution of the inequality.

Calculation:

The given inequalities equation is $\text{2x-3<6}$ and means it should be less than the equation form by the below tabular form:

$\text{x}$	$3$	$\text{0}$
$\text{y}$	$\text{0}$	$\text{-2}$

The graph of the Inequalities equation $\text{2x-3<6}$ :

  

The dotted red line show the line is not included the graph since, the equation is less than $\text{6}$ so the equation doesn’t include the equation $\text{2x-3y=6}$ .

Hence, the graph is shown here in red shaded region which doesn’t include dotted line.