Question

inequalities

–1 ≤ x – 3 ≤ 5


–2x – 5 < –2 or x – 3 < –10

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. This is demonstrated in the Instructor Guidance in the left navigation toolbar, in your online course.
•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

Answer 1

-2x - 5 < -2
-5 < 2x-2
-3 < 2x
-3/2 < x or, x > -3/2

do the others similarly.