Question

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

(1 point)

Answer 1

To determine if a point is a solution to the simultaneous inequalities \( y > 6x - 4 \) and \( y \leq 3x + 2 \), you need to check whether the point satisfies both inequalities.

1. Find the coordinates of the point you're interested in.
2. Substitute the x and y values of the point into the inequalities:
- For \( y > 6x - 4 \): Check if the y-value is greater than \( 6 \times \text{x-value} - 4 \).
- For \( y \leq 3x + 2 \): Check if the y-value is less than or equal to \( 3 \times \text{x-value} + 2 \).

If the point satisfies the first inequality and also satisfies the second inequality, then the answer is 1 (yes). If it doesn't satisfy both inequalities, the answer is 2 (no).

Since you did not provide a specific point, I cannot calculate the answer for you. Please provide the coordinates of the point you would like to evaluate.