For this problem you will be demonstrating your
understanding of compound inequalities and the effect that dividing by a
negative has on an inequality. Read the following instructions in order and
view the example to complete this discussion:
According to the first letter of your last name, find the
pair of compound inequalities assigned to you in the table below.
Your “and” compound inequality is
-17 < 3 + 10x ≤ 33
Your “or” compound inequality is
5x + 3 ≤ -2 or 13 – x ≤ 6
Solve the compound inequalities as demonstrated in
Elementary and Intermediate Algebra and the Instructor Guidance in the left
navigation toolbar, being 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 as demonstrated in
the Instructor Guidance in the left navigation toolbar.
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.):