Graphing Inequalities

Which of the following is true of the given graph?

y ≥ -2x + 1

• The graph is a dotted line, shaded above.

• The graph is a solid line, shaded above.

• The graph is a dotted line, shaded below.

• The graph is a solid line, shaded below.

Is this graph shaded above or below?

• above

• below

Are the points on the boundary line part of the solution set or not?

• Yes, they are part of the solution set
• No, they are NOT part of the solution set

Randy must graph x + 3y > 6. Part of his effort is shown in the graph. Which of the following is true about Randy's work so far?

• All is great so far. He just needs to do the shading part.

• He has the incorrect y-intercept indicated since it should be at (0, 6).

• His "rise over run" technique is incorrect since it is reversed.

How can I tell if an inequality will have a solid line?

• It has an equal sign.
• The symbol is greater than.
• The symbol has "or equal to."
• You just guess.

If the inequality symbol is  $<$  or  $>$ , the line will be _________.

• solid

• dotted

If the inequality symbol is  $>$  or  $\ge$  you shade ________.

• above

• below

If the inequality symbol is  $<$  or  $\le$   you shade ________.

• above

• below

Select the correct graph for each inequality.

• A
• B
• C
• D

Identify the graph of the following linear inequality.

 $y\ge\frac{3}{2}x-5$  

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