Question

true or false
is the points on the line part of our solutions set in the inequality $y < -\frac{1}{2}x + 4$ ?
true
false
rewatch\tsubmit

Explanation:

Step1: Analyze the inequality symbol

The inequality is \( Y < -\frac{1}{2}x + 4 \). The symbol \( < \) means "less than", not "less than or equal to".

Step2: Determine solution set inclusion

For a point on the line \( Y = -\frac{1}{2}x + 4 \), substituting into the inequality gives \( Y = -\frac{1}{2}x + 4 \), but the inequality requires \( Y < -\frac{1}{2}x + 4 \). So points on the line do not satisfy the inequality and are not part of the solution set.

Answer:

FALSE