Consider two points P = (-1,-4) and Q = (5,4). a. Determine the distance between P and Q. b. Determine the midpoint of a line segment connecting P and Q. 2. (2 points) Suppose the variable x can be any number between -3 and 7, including only 7. Express this range of values using an interval, interval notation, and graphically. 3. (4 points) A motorist is traveling on a long highway. During their long trip, they keep their speed between 65 mph and 75 mph (despite a speed limit of 70 mph - woops). Hints: Write a compound inequality for their speed s on their trip. b. If they do this for 3 hours before they stop for a break, what is the range of the distance they could have travelled during that time? Use your result from part a and the fact that distance is speed times time (so d = s. t). Express your answer in interval notation, graphically, and as a sentence. 1. For parts a and b, check your formulas! 2. Be careful with the language and the boundaries of the interval! What marks should be at the ends? 3. For part a, this should be quick to complete! Don't overthink it! For part b, manipulate the equation given to you, substituting the result into part a