Inequalities

Demonstrate your understanding of the following 2 compound inequalities and the effect that dividing by a negative has on an inequality.

　

1.)

-10 < -3 + x ≤ 21

　

2.)

2 – x ≥ 1 or 6x – 1 > 17

　

• Solve the compound inequalities. Be careful of how a negative x-term is handled in the solving process. Show all math work arriving at the solutions.

 

• Show the solution sets written algebraically and as a union or intersection of intervals. Describe in words what the solution sets mean, and then display a simple line graph for each solution set.

 

　

• Incorporate the following five math vocabulary words into your discussion. Use bold font to emphasize the words in your writing (Do not write definitions for the words; use them appropriately in sentences describing your math work.):

 

• Compound inequalities

 

• And

 

• Or

 

• Intersection

 

• Union

 

Your initial post should be at least 250 words in length. Support your claims with examples from required material(s) and/or other scholarly resources, and properly cite any references