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# 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.): * Compound inequalities * And * Or * Intersection * Union

math

  • 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.):
    • Compound inequalities
    • And
    • Or
    • Intersection
    • Union
  • I already have the answer to the equation which is
  • your “or” compound inequality is 12 – x > 15 or 4x – 13 > 7First inequality:

    12 – x > 15

    12 > 15 + x

    12 – 15 > x

    -3 > x

    x < -3

    Second inequality:

    4x – 13 > 7

    4x > 7  + 13

    4x > 20

    x > 20/4

    x > 5

     

    Hence, our solution is as follows: x<-3 or x>5

     

    Your “and” compound inequality is -16 ≤ 2 + 9x ≤ 11. 

    First inequality:

    -16 ≤ 2 + 9x

    -16 – 2 ≤ 9x

    -18 ≤ 9x

    -2 ≤ x

    x ≥ -2

    Second inequality

    2 + 9x ≤ 11

    9x ≤ 11 – 2

    9x ≤ 9

    x ≤ 1

     

    Hence, our solution is: x ≥ -2 and x ≤ 1

     

    Another way of saying this is: -2 ≤ x ≤ 1

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