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 answer

To determine if a point is a solution for the simultaneous inequalities \( y > 6x - 4 \) and \( y \leq 3x + 2 \), we can analyze both inequalities:

  1. For \( y > 6x - 4 \): The point must lie above the line defined by the equation \( y = 6x - 4 \).

  2. For \( y \leq 3x + 2 \): The point must lie on or below the line defined by the equation \( y = 3x + 2 \).

You can evaluate the specific point on the graph by substituting its coordinates, \((x, y)\), into both inequalities. If it satisfies both conditions, then it is a solution.

If you have a specific point in mind, please provide its coordinates, and I can guide you further on whether it satisfies the given inequalities. Otherwise, without knowing the specific point, I can't definitively answer.