Question

On vacation, Li’s family will be visiting an amusement park. Riders must be at least 48 inches tall to go on the roller coaster. Li’s little brother is 3 feet 6 inches tall. Which inequality can be used to find how many inches he must grow to be able to ride the roller coaster? (12 in. = 1 ft)
48 Greater-than-or-equal-to h - 42
48 Less-than-or-equal-to h - 42
48 Greater-than-or-equal-to h + 42
48 Less-than-or-equal-to h + 42

Answer 1

He is 3 ft 6 in = 42 in. If h is inches he must grow, his height after growing is 42 + h and must be at least 48, so 42 + h ≥ 48, i.e. 48 ≤ h + 42. Thus: 48 Less-than-or-equal-to h + 42.