Linear inequalities

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

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

Which point below is NOT part of the solution set?

• (0, 0)
• (-10, -10)
• (-1, 5)
• (5, 20)

Select the graph for y ≥ -3.

• A
• B
• C
• D

Write the linear inequality in standard form for this situation: In order to raise money to attend upcoming competitions, the Math Pentathalon team is selling apple cider and hot chocolate. They hope to make at least $240 by selling hot chocolate for $1 a glass and hot apple cider for $2 a glass.

• x + 2y < 240
• x + 2y > 240
• x + 2y ≤ 240
• x + 2y ≥ 240

Which point is not a solution?

• (1, 3)
• (-1, 2)
• (3, -2)
• (5, 0)

Choose the correct inequality for this graph.

• 
• 
• 
• 

What inequality symbol goes with is at least?

• <
• >
• ≤
• ≥

Is the point (3, 1) 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 in the shaded region.

Which of the following equations match the given graph?

• x ≥ -1
• x ≤ -1
• x > -1
• x < -1

Which of the following equations match the given graph?

• y ≥ 2/5x + 1
• y ≥ -2/5x + 1
• y≤  2/5x + 1
• y ≥ -2/5x - 1