5.5 Graphing Inequalities

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.

Which of the following equations match the given graph?

• y ≤ -5/4 x + 3

• y ≥ -5/4 x + 3

• y < -5/4 x + 3

• y > -5/4 x + 3

Which of the following equations match the given graph?

• x ≥ -1
• x ≤ -1
• x > -1
• x < -1

Write the inequality in slope-intercept form:
-10x + 2y > 14

• y < 10x + 12
• y > 10x + 7
• y < 5x + 7
• y > 5x + 7

Is the point (0,5) a solution for the following inequality? Choose the best answer that has the best explanation.

• Yes because it is located in the shaded region.

• No because it is located on the line and the line is dotted.

• Yes because it is located on the line.

• No because it is not in the shaded region.

Consider the equation:
y=-x+4
Identify the slope and y-intercept.

• m=4, b=-x
• m=-x, b=4
• m=1, b=4
• m=-1, b=4

Determine whether point A is a solution to the linear inequality that is shown.

• Yes

• No

• Sometimes