The graph of the inequality is the shaded region and boundary of the inequality is. To graph the boundary, find the *x*-intercept and *y*-intercept of the line.

First find the *y*-intercept.

The *y*-intercept is the value of y, when .

(Substitute )

(Multiply: )

(Apply Additive identity property: )

The *y*-intercept is – 5, so the graph intersects the *y*-axis at (0, – 5).

Next find the *x*-intercept.

The *x*-intercept is the value of *x*, when .

(Substitute )

(Add 5 to each side)

(Simplify)

(Divide each side by 3)

(Cancel common terms)

(Divide: )

The *x*-intercept is 1.66, so the graph intersects the *x*-axis at (1.66, 0).

To draw inequality follow the steps.

**1. **Draw a coordinate plane.

**2. **Plot the points.

**3. **Since inequality symbol is , the boundary is included in the solution set. Graph the boundary of the inequality with a solid line.

**4. **To determine which half-plane to be shaded use a test point in either half-plane. A simple choice is (0, 0).

Substitute and *y* = 0 in original inequality .

The statement is false.

**4. **Since the statement is false, shade the region that do not contains point (0, 0).

** **

Inequality graph is

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