Question

multiple-choice question what is a point that is a solution to $y<-\frac{1}{2}x + 4$ $(-6,-6)$ $(6,6)$ rewatch

Explanation:

Step1: Test point (-6, -6)

Substitute \( x = -6 \) and \( y = -6 \) into the inequality \( y < -\frac{1}{2}x + 4 \).
First, calculate the right - hand side: \( -\frac{1}{2}(-6)+4=3 + 4=7 \).
Then check the inequality: \( -6<7 \), which is true.

Step2: Test point (6, 6)

Substitute \( x = 6 \) and \( y = 6 \) into the inequality \( y < -\frac{1}{2}x + 4 \).
Calculate the right - hand side: \( -\frac{1}{2}(6)+4=-3 + 4 = 1 \).
Check the inequality: \( 6<1 \), which is false.

Answer:

(-6, -6)