Expression 4: "S" Subscript, 2 , Baseline left parenthesis, "x" , "y" , right parenthesis equals left brace, left parenthesis, "x" minus 1 , right parenthesis squared plus "y" squared less than 1 : "x" minus "y" , "Z" , right braceS2x,y=x−12+y2<1:x−y,Z
4
Expression 5: "S" Subscript, 2 , Baseline left parenthesis, "x" , "y" , right parenthesis greater than or equal to "S" Subscript, 1 , Baseline left parenthesis, "x" , "y" , right parenthesis left brace, "S" Subscript, 2 , Baseline left parenthesis, "x" , "y" , right parenthesis greater than "Z" , right braceS2x,y≥S1x,yS2x,y>Z
5
Expression 6: "S" Subscript, 3 , Baseline left parenthesis, "x" , "y" , right parenthesis equals left brace, max left parenthesis, abs left parenthesis, "x" minus .5 , right parenthesis , abs left parenthesis, StartFraction, "y" Over 2 , EndFraction , right parenthesis , right parenthesis less than .8 : negative 4 "y" minus 1 , "Z" , right braceS3x,y=maxabsx−.5,absy2<.8:−4y−1,Z
6
Expression 7: "S" Subscript, 3 , Baseline left parenthesis, "x" , "y" , right parenthesis greater than or equal to max left parenthesis, "S" Subscript, 1 , Baseline left parenthesis, "x" , "y" , right parenthesis , "S" Subscript, 2 , Baseline left parenthesis, "x" , "y" , right parenthesis , right parenthesis left brace, "S" Subscript, 3 , Baseline left parenthesis, "x" , "y" , right parenthesis greater than "Z" , right braceS3x,y≥maxS1x,y,S2x,yS3x,y>Z
7
Expression 8: "Z" equals negative 10 to the 5th powerZ=−105
