Question #299070

b. Show on the real line and indicate in symbols each of the following:




S₁= {x: -7 < x < ∞ } ∩ {x: -∞ < x < 3}




S₂= (x:x ≥ ∞ } ∩ (x: x+ 3 < 6}




S3 = y: y²-2 y-3 < 0} U {y: -2 ≤ y ≤ 1}


1
Expert's answer
2022-02-21T14:45:28-0500

S1S_1


7<x<3-7<x<3

S2={x:x0}{x:x+3<6}S_2= \{x:x ≥ 0 \} ∩ \{x: x+ 3 < 6\}

S2S_2


0x<30\le x<3





y22y3<0y^2-2y-3<0

(y+1)(y3)<0(y+1)(y-3)<0


1<y<3-1<y<3

S3S_3


2y<3-2\le y<3

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