Question

Which system of linear inequalities is represented by the graph?

y ≥ 2x + 1

y ≤ 2x – 2

Answer 1

b

Explanation:

Answer 2

1. Answer: Second graph.

Explanation:

The equation of the line in Slope-Intercept form is:

`y=mx+b`

Where "m" is the slope of the line and "b" is the y-intercept.

So, the lines of this system are:

1)
`y= 2x + 1`

Where:

`m=2\\b=1`

2)
`y=2x- 2`

Where:

`m=2\\b=-2`

Notice that:

- Since both lines have the same slope, they are parallel.

- The symbol of the first inequality is
`\geq` . This indicates that the line is solid and the shaded region must be above the line.

- The symbol of the second inequality is
`\leq` . This indicates that the line is solid and the shaded region must be below the line.

Therefore, the second graph represents the system of linear inequalities.