Question

Which graph represents the system of inequalities

Answer 1

y + 2 < 5x.....y < 5x - 2....slope = 5...y int = -2.....less then means shading below the line....dashed line because no equal sign.

y + 3x > 4....y > -3x + 4....slope = -3....y int = 4....greater then means shaded above the line....dashed line because no equal sign

y > = 2x....slope = 2....goes thru the origin (0,0)....greater then means shading above the line....solid line because of the equal sign

ur graph is : the top one on the right

Answer 2

Top right graph.

Explanation:

First inequality is y + 2 < 5x

We can rewrite this inequality as y < 5x - 2

This inequality will be represented by a dotted line with y intercept = -2 and less than sign will show the area on the right side of the dotted line.

Second inequality is y + 3x > 4

This inequality is represented by a line having y intercept y = 4.

Since there is no equality sign so the line will be a dotted line.

Area represented by the greater than sign will be shown by the area above the dotted line.

Now we take the third inequality

y ≥ 2x

This inequality will be represented by a solid line passing through the origin.

Area represented by the inequality will be on the left side of the line y = 2x.

Therefore, graph given on the top right will be the answer.