Answer: Yes
The point (-8,4) makes the inequality [tex]11x + 2y \le 19[/tex] true
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Explanation:
We have x = -8 and y = 4 pair up together due to the point (x,y) = (-8,4).
Let's plug these values into the inequality
[tex]11x + 2y \le 19\\\\11(-8) + 2(4) \le 19\\\\-88+8 \le 19\\\\-80 \le 19\\\\[/tex]
The last inequality is true because -80 is to the left of 19 on the number line. So -80 is smaller than 19.
Since the last inequality is true, this means the first inequality is true when (x,y) = (-8,4).
