Question

(05.06)

Choose the graph below that represents the following system of inequalities: (1 point)

y ≥ −3x + 1
y ≤ 1 over 2 x + 3

Answer 1

The second graph.

Yr Welcome

Explanation:

Answer 2

The second graph represents the system of inequalities

`y\geq-3x + 1\\\\y\leq(1)/(2)x + 3\\`

Explanation:

Let us first consider how the graphs of the inequalities will look like.

For the inequality
`y\geq-3x + 1` all the values "above" the line
`y=-3x + 1` are its solutions (because of the
`\geq` sign).

And for the inequality
`y\leq(1)/(2)x + 3` all the values the "below" the line
`y=(1)/(2)x + 3` are its solutions (because of the
`\leq` sign).

Together these system of inequalities have the solutions as shown in the second figure.