Consider the inequality 6x + y < p. What must be true about the value of p in order for the origin to be part of the solution

Absolute value is always positive or zero, and a positive absolute value could result from either a positive or a negative original value. When solving and graphing absolute value inequalities, we have to consider both the behavior of absolute value and the Properties of Inequality

The origin is (0,0)

Substitute and solve for "p":

6*0 + 0 < p

p must be greater than zero.