Question

Which graph shows the solution to the system of linear inequalities? y < 2x – 5 y > –3x + 1 On a coordinate plane, 2 straight lines are shown. The first solid line has a negative slope and goes through (0, 1) and (1, negative 2). Everything to the right of the line is shaded. The second dashed line has a positive slope and goes through (0, negative 5) and (2, negative 1). Everything to the right of the line is shaded. On a coordinate plane, 2 straight lines are shown. The first dashed line has a negative slope and goes through (0, 1) and (1, negative 2). Everything to the right of the line is shaded. The second solid line has a positive slope and goes through (0, negative 5) and (2, negative 1). Everything to the right of the line is shaded. On a coordinate plane, 2 straight lines are shown. The first solid line has a negative slope and goes through (0, 1) and (1, negative 2). Everything to the left of the line is shaded. The second dashed line has a positive slope and goes through (0, negative 5) and (2, negative 1). Everything to the left of the line is shaded. On a coordinate plane, 2 straight lines are shown. The first dashed line has a negative slope and goes through (0, 1) and (1, negative 2). Everything to the left of the line is shaded. The second solid line has a positive slope and goes through (0, negative 5) and (2, negative 1). Everything to the left of the line is shaded. Mark this and return

Answer 1

The graph displays the linear inequality system's solution.

"It is a mathematical statement of an order relationship (greater than, greater than or equal to, less than, or less than or equal to) between two algebraic expressions."

"It is a set of points on the coordinate plane which satisfy given equation."

"It is a set of linear inequalities for which we find a common solution."

Regarding the query,

Two inequalities have been shown to us.

y ≤ 2x - 5

y > -3x + 1

The system of linear inequalities needs to be solved.

The set of all points below the line y = 2x - 5 is the graph of the inequality y ≤ 2x - 5.

It is represented by a blue-shaded region in the graph below.

The set of all points above the line y = -3x + 1 is the graph of the inequality y > -3x + 1.

Since the line y = -3x + 1 is not the same as y > -3x + 1, the graph has dotted lines.

It's indicated by a red-shaded area in the graph below.

The set of all common points, represented by the purple region in the graph, is the solution to the system of linear inequalities.

Question:-

Draw a graph that shows the solution to the system of linear inequalities?

y ≤ 2x-5

y > -3x + 1