SOLUTION: What is the solution set of y^2 - 2y ≤ 3y + 14? (A) y ≥ -2 (B) y ≤ 7 (C) y ≤ -2 or y ≥ 7 (D) -7 ≤ y ≤ 2 (E) -2 ≤ y ≤ 7

Question 329596: What is the solution set of y^2 - 2y ≤ 3y + 14?
(A) y ≥ -2
(B) y ≤ 7
(C) y ≤ -2 or y ≥ 7
(D) -7 ≤ y ≤ 2
(E) -2 ≤ y ≤ 7
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!

Break up the number line into 3 regions.
Region 1:( ,)
Region 2:(,)
Region 3:(, )
.
.
Choose a point in the region and test the inequality.
Region 1:

False, this region is not part of the solution.
.
.
Region 2:

True, this region is part of the solution.
.
.
Region 3:

False, this region is not part of the solution.
.
.
The solution region is Region 2.
E) is the correct answer.

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SOLUTION: What is the solution set of y^2 - 2y &#8804; 3y + 14? (A) y &#8805; -2 (B) y &#8804; 7 (C) y &#8804; -2 or y &#8805; 7 (D) -7 &#8804; y &#8804; 2 (E) -2 &#8804; y &#8804; 7