Video Transcript
Use the graph to find the solution set of the inequality π of π₯ is less than π of π₯ in the real numbers.
The intersections of graphs are where solutions are. So here we can see these two graphs intersecting at two places.
Notice the π¦-values of threes stay constant. However, thereβs a range, with zero being π₯ and six being π₯, between zero and six where the π of π₯ graph is actually less than the π of π₯ graph, because notice the π of π₯ graphs stays at 3.
The π of π₯ graph is underneath that line here in yellow. So from zero to six, the inequality π of π₯ would be less than π of π₯ in the real numbers. So we have an interval from zero to six.
And just for reclarification, here in the pink we can see where the π of π₯ graph is lower, is less than, the π of π₯ graph and those values range for the π₯s from π₯ equals zero all the way up till π₯ equals six.
