Question

Which graph best represents the solution to the following system?

5x - 2y < (less than or equal to) 10
x + y < 5

Answer 1

The graph that best represents the solution to the given system is:

Graph A.

Explanation:

We are given a system of inequalities as:

`5x-2y\leq 10`

and
`x+y<5`

• i.e. the graph of first inequality is a solid straight line( since the inequality is not strict) that passes through (2,0) and (0,-5) and the shaded region is towards the origin( since it passes the zero point test)

• whereas the graph of second inequality is a dotted straight line(since the inequality is strict) that passes through (0,5) and (5,0) and the shaded region is towards the origin( since it passes the zero-point test)

Hence, the graph is:

Graph A.

Answer 2

Based on the given figures above, the graph that best represents the solution to the following system? 5x - 2y < (less than or equal to) 10 and x + y < 5 would be the first graph, or option A. So we came up with this answer by analyzing the given systems and one of it is by determine if the solid line has its solutions to the left or to the right. Since the solid one needs coloring above its function line and the dashed one needs coloring below its function line, then we can conclude that it is graph 1.