Which of the following points is a solution of the inequality \( y<-|x| \) ? \( (1,-2) \) \( (1,0) \) \( (1,-1) \)

To determine which point is a solution of the inequality \( y < -|x| \), we can substitute the \( x \) values from the points into the inequality and check if the \( y \) values satisfy it. 1. For the point \( (1, -2) \): - Substitute \( x = 1 \): \( y < -|1| \) which simplifies to \( y < -1 \). - Since \( -2 < -1 \), this point is a solution. 2. For the point \( (1, 0) \): - Substitute \( x = 1 \): \( y < -|1| \) which simplifies to \( y < -1 \). - Since \( 0 \) is not less than \( -1 \), this point is not a solution. 3. For the point \( (1, -1) \): - Substitute \( x = 1 \): \( y < -|1| \) which simplifies to \( y < -1 \). - Since \( -1 \) is not less than \( -1 \), this point is also not a solution. Thus, the solution of the inequality \( y < -|x| \) is \( (1, -2) \).