Help please, am i correct?

The border line of the linear inequality 4x-2y < 1 is solid.

True

False <--

correct

4x+2y<16

To determine whether the border line of the linear inequality is solid or dashed, you need to analyze the inequality itself.

In this case, the inequality is 4x - 2y < 1. The inequality is in the form "less than," which means that the border line should not be included in the solution set.

To graph the border line, you need to find the equation of the line formed by the inequality.
1. Start by isolating the y variable:
4x - 2y < 1
-2y < -4x + 1
y > 2x - 1/2

Now, this inequality will be represented by a dashed line, indicating that the points on the line are not included in the solution set.

So, the correct answer is:

False, the border line of the linear inequality 4x - 2y < 1 is dashed.