nis question we prove that certain sets are not convex. each of the following sets, give the coordinates of two points where P and Q are in the set, but the line from P to Q goes example, if the points are (1,2) and (3, 4), enter in the format (1,2).(3,4) R-{(s.):2+u221,y<아} 1,-1/2).(1,-1/2) s- {(r,9) : (2 – 1)² + y² < 10}u{(z,y) : (z+3)2 +y? < 18} T-{(2,p) : 2 > 6}n{(=,p) : ² < 4} (sqrt(-6),-2).(sqrt(6),2)

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter8: Introduction To Functions
Section8.2: Points, Lines, And Their Graphs
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In this question we prove that certain sets are not convex. For each of the following sets, give the coordinates of two points where P and Q are in the set, but the line from P to Q goes outside the set. For example, if the points are (1,2)and (3,4), enter in the format (1,2),(3,4)
In this question we prove that certain sets are not convex.
For each of the following sets, give the coordinates of two points where P and Q are in the set, but the line from P to Q goes
For example, if the points are (1,2) and (3,4), enter in the format (1,2),(3,4)
- {(z,9) : =2 + y? 2 1, y<o}
(a) R =
(-1,-1/2),(1.-1/2)
(b) S = {(z, v) : (z – 1)²+ y? < 10}u{(z,v) : (- +3)2 + y² s 18}
(e)T - {(2,9) : =? > 6} n{(2,») : y² < 4}
(sqrt(-6),-2).(sqrt(6).2)
Transcribed Image Text:In this question we prove that certain sets are not convex. For each of the following sets, give the coordinates of two points where P and Q are in the set, but the line from P to Q goes For example, if the points are (1,2) and (3,4), enter in the format (1,2),(3,4) - {(z,9) : =2 + y? 2 1, y<o} (a) R = (-1,-1/2),(1.-1/2) (b) S = {(z, v) : (z – 1)²+ y? < 10}u{(z,v) : (- +3)2 + y² s 18} (e)T - {(2,9) : =? > 6} n{(2,») : y² < 4} (sqrt(-6),-2).(sqrt(6).2)
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