(05.06) Choose the graph below that represents the following system of inequalities: (1 point) y ≥ −3x + 1 y ≤ 1 over 2 x + 3

Question

asked Dec 18, 2020 145k views

2 Answers

Swathi · Answer 1 · 2020-12-24T10:14:28+0000

Answer:

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.