Linear Inequality Direction: Draw the graph of the following linear inequality in two variables.


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Given function:

To draw the graph follow the steps

1. Consider the function: 2x + 3y = 15

2. Find the y-intercept, the value of y, when x = 0:

3. Find the x-intercept, the value of x, when y = 0:

4. Note the inequality symbol ≤, which means less or equal, which includes all the points of the line. It means we draw a solid line connecting the points we have identified above.

5. Now, ignore all the numbers and only consider the sign of y and the inequality:

This tells we should make the region below the line shaded, which is the solution of the given inequality.

See attached

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step-by-step explanation: