Algebra 1 6-5 Independent Practice: Linear Inequalities

Is (-1, 4) a solution of the inequality? Explain.

Graph the linear inequality on the canvas below by hand, without the aid of a graphing utility.

As always, include important graph detail: label the axes, indicate axis scale by labeling at least one value on each axis, add arrows to the ends of lines, ensure that your line is appropriately dashed or solid, and shade one side of the boundary line, as appropriate.

Graph the linear inequality.

Recall that the two characters <= will be converted to a \leq sign.

After graphing using this Desmos utility, you may revise your response to the previous item.

Graph the linear inequality. Zoom and pan your graph to establish an appropriate viewing window.

Vocabulary: How is a linear inequality in two variables like a linear equation in two variables? How are they different?

Writing: To graph the inequality below, do you shade above or below the boundary line? Explain.

You may use the canvas to help illustrate your chosen response.

Reasoning: Write an inequality that describes the region of the coordinate plane not included in the graph of the inequality below.

Enter only the inequality in slope-intercept form without spaces.

Reflection: Math Success