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.

Tags

CCSS.HSA.REI.D.12

Select the graph for y ≥ -3.

• A
• B
• C
• D

Tags

CCSS.HSA.REI.D.12

Select the graph for 5x+ y ≤  -1 .

• A
• B
• C
• D

Tags

CCSS.HSA.REI.D.12

Select the correct graph for each inequality. y≤ -¾x -1

• A
• B
• C
• D

Tags

CCSS.HSA.REI.D.12

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

Tags

CCSS.HSA.REI.D.12

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.

Tags

CCSS.HSA.REI.D.12

Consider the function y < 2x+3. Which is true?

• The line would be solid with shading above.
• The line would be dashed with shading above.
• The line would be solid with shading below.
• The line would be dashed with shading below.

Tags

CCSS.HSA.REI.D.12

Which of the following equations match the given graph?

• x ≥ -1
• x ≤ -1
• x > -1
• x < -1

Tags

CCSS.6.EE.B.8

• y ≤ -2x - 1
• y ≥ -2x - 1
• y ≤ 2x - 1
• y ≥ 2x - 1

Tags

CCSS.HSA.REI.D.12

Write the linear inequality in standard form for this situation: A landscaping business is purchasing plants from a nursery to finish a project. It will cost $14 each to buy each tree and $5 each to buy each bush. The landscaper wishes to keep the spending under $1000.

• 14x + 5y ≥ 1000
• 14x + 5y < 1000
• 14x + 5y  ≤ 1000
• 14x + 5y > 1000

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.D.12