How to graph a two-step inequality - Algebra

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Question

Which graph depicts the following inequality?

$x\geq4y+12$

Answer

Let's put the inequality in slope-intercept form to make it easier to graph:

$x\geq4y+12$

$x-12\geq4y+12-12$

$x-12\geq4y$

$\frac{x-12}{4}\geq\frac{4y}{y}$

$\frac{1}{4}x-3\geq y$

The inequality is now in slope-intercept form. Graph a line with slope $\frac{1}{4}$ and y-intercept .

Because the inequality sign is greater than or equal to, a solid line should be used.

Next, test a point. The origin is good choice. Determine if the following statement is true:

$\frac{1}{4}(0)-3\geq0$

The statement is false. Therefore, the section of the graph that does not contain the origin should be shaded.

Compare your answer with the correct one above

Question

Which graph depicts the following inequality?

$x\geq4y+12$

Answer

Let's put the inequality in slope-intercept form to make it easier to graph:

$x\geq4y+12$

$x-12\geq4y+12-12$

$x-12\geq4y$

$\frac{x-12}{4}\geq\frac{4y}{y}$

$\frac{1}{4}x-3\geq y$

The inequality is now in slope-intercept form. Graph a line with slope $\frac{1}{4}$ and y-intercept .

Because the inequality sign is greater than or equal to, a solid line should be used.

Next, test a point. The origin is good choice. Determine if the following statement is true:

$\frac{1}{4}(0)-3\geq0$

The statement is false. Therefore, the section of the graph that does not contain the origin should be shaded.

Compare your answer with the correct one above

Question

Which graph depicts the following inequality?

$x\geq4y+12$

Answer

Let's put the inequality in slope-intercept form to make it easier to graph:

$x\geq4y+12$

$x-12\geq4y+12-12$

$x-12\geq4y$

$\frac{x-12}{4}\geq\frac{4y}{y}$

$\frac{1}{4}x-3\geq y$

The inequality is now in slope-intercept form. Graph a line with slope $\frac{1}{4}$ and y-intercept .

Because the inequality sign is greater than or equal to, a solid line should be used.

Next, test a point. The origin is good choice. Determine if the following statement is true:

$\frac{1}{4}(0)-3\geq0$

The statement is false. Therefore, the section of the graph that does not contain the origin should be shaded.

Compare your answer with the correct one above

Question

Which graph depicts the following inequality?

$x\geq4y+12$

Answer

Let's put the inequality in slope-intercept form to make it easier to graph:

$x\geq4y+12$

$x-12\geq4y+12-12$

$x-12\geq4y$

$\frac{x-12}{4}\geq\frac{4y}{y}$

$\frac{1}{4}x-3\geq y$

The inequality is now in slope-intercept form. Graph a line with slope $\frac{1}{4}$ and y-intercept .

Because the inequality sign is greater than or equal to, a solid line should be used.

Next, test a point. The origin is good choice. Determine if the following statement is true:

$\frac{1}{4}(0)-3\geq0$

The statement is false. Therefore, the section of the graph that does not contain the origin should be shaded.

Compare your answer with the correct one above

Question

Which graph depicts the following inequality?

$x\geq4y+12$

Answer

Let's put the inequality in slope-intercept form to make it easier to graph:

$x\geq4y+12$

$x-12\geq4y+12-12$

$x-12\geq4y$

$\frac{x-12}{4}\geq\frac{4y}{y}$

$\frac{1}{4}x-3\geq y$

The inequality is now in slope-intercept form. Graph a line with slope $\frac{1}{4}$ and y-intercept .

Because the inequality sign is greater than or equal to, a solid line should be used.

Next, test a point. The origin is good choice. Determine if the following statement is true:

$\frac{1}{4}(0)-3\geq0$

The statement is false. Therefore, the section of the graph that does not contain the origin should be shaded.

Compare your answer with the correct one above

Question

Which graph depicts the following inequality?

$x\geq4y+12$

Answer

Let's put the inequality in slope-intercept form to make it easier to graph:

$x\geq4y+12$

$x-12\geq4y+12-12$

$x-12\geq4y$

$\frac{x-12}{4}\geq\frac{4y}{y}$

$\frac{1}{4}x-3\geq y$

The inequality is now in slope-intercept form. Graph a line with slope $\frac{1}{4}$ and y-intercept .

Because the inequality sign is greater than or equal to, a solid line should be used.

Next, test a point. The origin is good choice. Determine if the following statement is true:

$\frac{1}{4}(0)-3\geq0$

The statement is false. Therefore, the section of the graph that does not contain the origin should be shaded.

Compare your answer with the correct one above

Question

Which graph depicts the following inequality?

$x\geq4y+12$

Answer

Let's put the inequality in slope-intercept form to make it easier to graph:

$x\geq4y+12$

$x-12\geq4y+12-12$

$x-12\geq4y$

$\frac{x-12}{4}\geq\frac{4y}{y}$

$\frac{1}{4}x-3\geq y$

The inequality is now in slope-intercept form. Graph a line with slope $\frac{1}{4}$ and y-intercept .

Because the inequality sign is greater than or equal to, a solid line should be used.

Next, test a point. The origin is good choice. Determine if the following statement is true:

$\frac{1}{4}(0)-3\geq0$

The statement is false. Therefore, the section of the graph that does not contain the origin should be shaded.

Compare your answer with the correct one above

Question

Which graph depicts the following inequality?

$x\geq4y+12$

Answer

Let's put the inequality in slope-intercept form to make it easier to graph:

$x\geq4y+12$

$x-12\geq4y+12-12$

$x-12\geq4y$

$\frac{x-12}{4}\geq\frac{4y}{y}$

$\frac{1}{4}x-3\geq y$

The inequality is now in slope-intercept form. Graph a line with slope $\frac{1}{4}$ and y-intercept .

Because the inequality sign is greater than or equal to, a solid line should be used.

Next, test a point. The origin is good choice. Determine if the following statement is true:

$\frac{1}{4}(0)-3\geq0$

The statement is false. Therefore, the section of the graph that does not contain the origin should be shaded.

Compare your answer with the correct one above

Question

Which graph depicts the following inequality?

$x\geq4y+12$

Answer

Let's put the inequality in slope-intercept form to make it easier to graph:

$x\geq4y+12$

$x-12\geq4y+12-12$

$x-12\geq4y$

$\frac{x-12}{4}\geq\frac{4y}{y}$

$\frac{1}{4}x-3\geq y$

The inequality is now in slope-intercept form. Graph a line with slope $\frac{1}{4}$ and y-intercept .

Because the inequality sign is greater than or equal to, a solid line should be used.

Next, test a point. The origin is good choice. Determine if the following statement is true:

$\frac{1}{4}(0)-3\geq0$

The statement is false. Therefore, the section of the graph that does not contain the origin should be shaded.

Compare your answer with the correct one above

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