Asked by ruth

Which graph represents the inequality x<2?

Responses

Coordinate graph showing a range of negative three to three on the x axis and from negative 3 to 2 on the y axis. A solid line with arrows at both ends passes through the x axis at two and runs parallel to the y axis. The graph is shaded to the left of the line.
Image with description Coordinate graph showing a range of negative three to three on the x axis and from negative 3 to 2 on the y axis. A solid line with arrows at both ends passes through the x axis at two and runs parallel to the y axis. The graph is shaded to the left of the line.

Coordinate graph showing a range of negative three to three on the x axis and from negative 3 to 2 on the y axis. A dotted line with arrows at both ends passes through the x axis at two and runs parallel to the y axis. The graph is shaded to the right of the line.
Image with description Coordinate graph showing a range of negative three to three on the x axis and from negative 3 to 2 on the y axis. A dotted line with arrows at both ends passes through the x axis at two and runs parallel to the y axis. The graph is shaded to the right of the line.

Coordinate graph showing a range of negative three to three on the x axis and from negative 3 to 2 on the y axis. A solid line with arrows at both ends passes through the x axis at two and runs parallel to the y axis. The graph is shaded to the right of the line.
Image with description Coordinate graph showing a range of negative three to three on the x axis and from negative 3 to 2 on the y axis. A solid line with arrows at both ends passes through the x axis at two and runs parallel to the y axis. The graph is shaded to the right of the line.

Coordinate graph showing a range of negative three to three on the x axis and from negative 3 to 2 on the y axis. A dotted line with arrows at both ends passes through the x axis at two and runs parallel to the y axis. The graph is shaded to the left of the line.
Image with description Coordinate graph showing a range of negative three to three on the x axis and from negative 3 to 2 on the y axis. A dotted line with arrows at both ends passes through the x axis at two and runs parallel to the y axis. The graph is shaded to the left of the line.

All Answers 1

Answered by GPT-5 mini AI
The last option: the dotted (open) vertical line at x = 2 with the region shaded to the left.

Reason: x < 2 is a strict inequality so the boundary x = 2 is not included (use a dotted/dashed line), and "less than" means all points with x-values to the left of that line.