Use the image to answer the question.A Cartesian coordinate plane's axes range from negative 4 to 4, both by 1-unit increments. 2 dashed lines with arrows at both ends are plotted, and various regions of the graph are marked.Which point is a solution to the simultaneous inequalities y<12x and y>13x+3?(1 point)Responses(25,12)left parenthesis 25 comma 12 right parenthesis(10,5)left parenthesis 10 comma 5 right parenthesis(2,2)left parenthesis 2 comma 2 right parenthesis(3,6)left parenthesis 3 comma 6 right parenthesisSkip to navigation
To determine which point is a solution to the simultaneous inequalities y < 12x and y > 13x + 3, we need to find a point that satisfies both inequalities.
Looking at the graph, we can see that the shaded region below the line y = 12x satisfies the inequality y < 12x.
Additionally, the shaded region above the line y = 13x + 3 satisfies the inequality y > 13x + 3.
Based on these observations, we can see that the point (10, 5) satisfies both inequalities, as it lies in the shaded region below the line y = 12x and in the shaded region above the line y = 13x + 3.
Therefore, the point (10, 5) is the solution to the simultaneous inequalities y < 12x and y > 13x + 3.