Final answer:
To graph an inequality that is "less than," the arrow is drawn to the left, as both 'less' and 'left' start with the letter 'L', indicating all numbers that are less than the origin point.
Step-by-step explanation:
When graphing the solution for an inequality that is "less than," the arrow should be drawn to the left. This indicates that the set of solutions includes all numbers that are less than the number where the arrow originates. Remember, for an inequality with a "less than" symbol (<), you are showing all the values that are less than a certain number. An easy mnemonic to remember this is that both "less" and "left" start with the letter 'L', so when the values are less than a certain number, the arrow points to the left. For example, if the solution includes all numbers less than 5, you would draw a number line, put a circle on the number 5 (or a filled circle if the inequality is "less than or equal to"), and draw an arrow pointing to the left from the number 5.
On a graph, shifting a line to show a decrease in value would typically mean shifting it down (or to the left in the case of a horizontal move) when the intercept is made smaller. This parallels the idea of the arrow in an inequality, where the solutions that are "less than" are represented graphically by a movement to the left.