Question

Solve the inequalities. Write the solution sets in interval notation if possible. 6 (a) <o y +1 6 (b) <0 y +1 (c) 20 y+1 (d) >0 y +1

Answer 1

yo 4241 (-1) Ź to xo Do If Y > 0 a) <o Lets find critical point multiply both sides by 4271 yoto yo is critical point Yo works in original couation check for YLO Let y=-1 -112+1 hence not trup if yoo Let y=1 16 16+1 hence only solution is 4-0 Y6 [0] 6] above inequality is only true if y=0 y6 co have no solution YE{0} c] hold true for y=0 So Solution set te y=1 Le+4=) >O hence for use 471 if yco Let Y=-1 y ㅗ hence for 4xl y²+1 SO for all values inequality is true o) yer a ques y6 to inequality shouldot be 2010 which means y=0 is not valid SO Y € (-2, 1) U (IGP) so for 741 YE0 6 2 6 2 CS Scanned with Scanner