Use the image to answer the question.

Question

A solid line, a dashed line, and one point are graphed on a coordinate plane. The x-axis ranges from negative 3 to 10 in increments of 1. The y-axis ranges from negative 5 to 10 in increments of 1.

Is the point shown on the graph a solution for the simultaneous inequalities y>6x−4 and y≤3x+2 ? Enter 1 for yes or 2 for no.

(1 point)

Answer 1

To determine whether the point shown in the graph is a solution for the inequalities \( y > 6x - 4 \) and \( y \leq 3x + 2 \), we need to evaluate both inequalities at the coordinates of the point.

Let's break it down:

1. For \( y > 6x - 4 \):

   • Substitute the x and y coordinates of the point into the inequality.
   • Check if the y-coordinate is greater than the value of \( 6x - 4 \).

2. For \( y \leq 3x + 2 \):

   • Similarly, substitute the x and y coordinates of the point into the inequality.
   • Check if the y-coordinate is less than or equal to \( 3x + 2 \).

Without the actual coordinates of the point from the image, I can't perform the calculations directly.

• If the point satisfies both conditions (the first one being strict), then you would enter 1 (for yes).
• If the point does not satisfy both conditions, you would enter 2 (for no).

If you provide the coordinates of the point, I can help determine the correct answer!