What is the graph of the linear inequality 2x-3y< 12

We understand a linear inequality as an inequality involving a linear function. It's important to know that a linear inequality contains one of the symbols of inequality:

< less than

> greater than

≤ less than or equal to

≥ greater than or equal to

In this problem, we have:

In this case, we use the symbol <, so this indicates that is less than 12. To solve this, let's write the linear equation in slope-intercept form:

Step 1: Write the expression as an equation:

Step 2: Subtract -2x from both sides:

Step 3: Multiply the entire equation by -1/3

The graph of this equation is shown in the firs figure below. To know what's the shaded region let's take point (0, 0) and test it in the inequality:

Since this is true, the shaded region includes point (0, 0) and this is above the graph. We have to draw a dotted line since equality is not included in the solution and this is shown in the second figure below.

depending on others is critical to survival. my source is apex!

step-by-step explanation: