For each of the following statements, (1) write the statement informally without using variables or the symbols ? or ?, and (2) indicate whether the statement is true or false and briefly justify your answer.
(a) ? real numbers x, ? a real number y such that x < y.
(b) ? a real number y such that ? real numbers x, x < y.
a. Given any real number, there is a real number that is less than the given number.
Or: There is no smallest real number.
b. There is a real number that is less than every real number.
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Solve the problem.Three forces act on a bolt as shown in the figure. Find the resultant force.
?
A. R = 5000 lb, ? = 35° B. R = 2900 lb, ? = 104° C. R = 2900 lb, ? = -76° D. R = 5000 lb, ? = 215°
Express the set using the roster notation. The set of the days of the week.
A. {Tuesday, Thursday} B. {Saturday, Sunday} C. {Sunday, Monday, Tuesday, Wednesday, Thursday, Friday, Sunday} D. {Sunday, Monday, Tuesday, Wednesday, Thursday, Friday, Saturday}
Perform the indicated operation by hand.288.75 ÷ 27.5
A. 10.5 B. 1.05 C. 105 D. 11.5
Solve.The speed s of a vehicle is inversely proportional to the time t it takes to travel a fixed distance. If a vehicle travels a fixed distance at 10 miles per hour in 20 minutes, how fast must it travel to cover the same distance in 50 minutes?
A. 25 mph
B. 4 mph
C. 100 mph
D. 
mph