In which graph does the shaded region represent the solution to the inequality:



Answer:
Graph A
Explanation:
Given the inequality:
[tex]y+x<1-x[/tex]Combining like terms:
[tex]\begin{gathered} y+x+x<1 \\ y+2x<1 \\ \implies y<-2x+1 \end{gathered}[/tex]Since the sign is less than (<), the graph that represents this inequality must be shaded below the boundary line.
However, the coefficient of x when the inequality is written in slope-intercept form is negative, so the line must have a negative slope.
The correct choice is Graph A.