Final answer:
The solution of the linear inequality x + 7 < 8 is x < 1, which in set notation is x < 1 and in interval notation is (-∞, 1). Option A is correct and to visualize it, an open circle is placed at 1 on a real number line extending from negative infinity.
Step-by-step explanation:
To find the solution of the linear inequality x + 7 < 8, we subtract 7 from both sides to isolate x:
x + 7 - 7 < 8 - 7
x < 1
The solution set in set notation is x , and in interval notation, it is (-∞, 1). The correct choice is A) (-∞, 1).
To graph this on the real number line, we draw a line starting from negative infinity up to, but not including, 1. At 1, we place an open circle to indicate that 1 is not included in the solution set.