Question

Which graph represents the inequality y≤1−3x?



Responses

Coordinate graph showing a range of negative one to five on the x axis, and from negative four to two on the y axis, in increments of 2. A solid line with arrows at both ends passes through the y axis at one and the x axis at point three. The graph is shaded below the line.
Image with description Coordinate graph showing a range of negative one to five on the x axis, and from negative four to two on the y axis, in increments of 2. A solid line with arrows at both ends passes through the y axis at one and the x axis at point three. The graph is shaded below the line.

Coordinate graph showing a range of negative one to five on the x axis, and from negative four to two on the y axis, in increments of 2. A dotted line with arrows at both ends passes through the y axis at one and the x axis at point three. The graph is shaded above the line.
Image with description Coordinate graph showing a range of negative one to five on the x axis, and from negative four to two on the y axis, in increments of 2. A dotted line with arrows at both ends passes through the y axis at one and the x axis at point three. The graph is shaded above the line.

Coordinate graph showing a range of negative one to five on the x axis, and from negative four to two on the y axis, in increments of 2. A solid line with arrows at both ends passes through the y axis at one and the x axis at point three. The graph is shaded above the line.
Image with description Coordinate graph showing a range of negative one to five on the x axis, and from negative four to two on the y axis, in increments of 2. A solid line with arrows at both ends passes through the y axis at one and the x axis at point three. The graph is shaded above the line.

Coordinate graph showing a range of negative one to five on the x axis, and from negative four to two on the y axis, in increments of 2. A dotted line with arrows at both ends passes through the y axis at one and the x axis at point three. The graph is shaded below the line.
Image with description Coordinate graph showing a range of negative one to five on the x axis, and from negative four to two on the y axis, in increments of 2. A dotted line with arrows at both ends passes through the y axis at one and the x axis at point three. The graph is shaded below the line.

Answer 1

The first graph (solid line through (0,1) with the region shaded below it).

Reason: ≤ uses a solid boundary, and the region below the line is correct because (0,0) satisfies 0 ≤ 1 − 3(0).