Choose the point which is a solution to the system of inequalities:

y less than or equal to –2x + 3
y

Question

Choose the point which is a solution to the system of inequalities:

y less than or equal to –2x + 3
y < one half x – 4
options:
A. 4, –6)

 B. (–4, 6)

 C. (4, 6)

 D. (–4, –6)

anonymous · Answer

@Hero can u help me please?

hero · Answer

Test each point directly by plugging them in.

hero · Answer

For example, let's try plugging the first point (4, -6) into each inequality:

   $y \le -2x + 3 $
$ -6\le -2(4) + 3 $
$-6 \le -8 + 3$
$-6 \le -5$

True

   $y \le \frac{x}{2} - 4$
$-6 \le \frac{4}{2} - 4$
$-6 \le 2 - 4$
$-6 \le -2$

True

Well, I only wanted to show you an example, but the first one ended up being true for both expressions. Looks like (4, -6) is the correct point.

anonymous · Answer

lol thanks