Respuesta :

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.