Question

1
$y < 5$
$y \geq \frac{1}{3}x + 3$
(grid with x-axis from -7 to 7 and y-axis from -7 to 7)

______ a. $(-3, 4)$
______ b. $(2, 5)$

Explanation:

Step1: Check point a (-3,4)

First, check \( y < 5 \): \( 4 < 5 \), which is true.
Then, check \( y \geq \frac{1}{3}x + 3 \): Substitute \( x = -3 \), \( y = 4 \).
\(\frac{1}{3}(-3)+3=-1 + 3 = 2\). Since \( 4 \geq 2 \), this is true.

Step2: Check point b (2,5)

Check \( y < 5 \): \( 5 < 5 \) is false (it's equal, but the inequality is strict \( y < 5 \)).

Answer:

a. \((-3, 4)\)