3x + y ≤ 1
A.
A linear graph of dotted line intersects X-axis at the unit (0.3,0) and Y-axis at the unit (0, 1), With the region on the left side of the line shaded in blue and the right side in white color
B.
A linear graph of solid line intersects X-axis at the unit (0.3,0) and Y-axis at the unit (0,1), With the region on the right side of the line shaded in blue and the left side in white color
C.
A linear graph of solid line intersects X-axis at the unit (0.5,0) and Y-axis at the unit (0,1), With the region on the left side of the line shaded in blue and the right side in white color
D.
A linear graph of dotted line intersects X-axis at the unit (minus 0.5, 0) and Y-axis at the unit (0, 1), With the region on the left side of the line shaded in blue and the right side in white color
E.
A linear graph of dotted line intersects X-axis at the unit (0.5, 0) and Y-axis at the unit (0, 1), With the region on the right side of the line shaded in blue and the left side in white color
The correct answer is option B.
A linear graph of a solid line intersects the X-axis at the unit (0.3, 0) and the Y-axis at the unit (0, 1). This means that the inequality is satisfied by points on the line itself.
The region on the right side of the line is shaded in blue, as indicated by the inequality 3x + y ≤ 1. This means that any point on or below the line satisfies the inequality, while any point above the line does not.
Therefore, option B is the correct answer.