Problema Solution
twice the smaller of two consecutive integers increased by the larger integer is at least 25. model the problem with an inequality, and determine which of the given values 7, 8, and/or 9 are solutions. then find the smallest number that will make the inequality true
Answer provided by our tutors
The two consecutive integers can be written as: x and x+1, where x is integer.
x is the smaller and x+1 is the larger (since x < x+1)
2x + x + 1 >= 25
........
click here to see the inequality solved for x
........
x >= 8
All of the values 7, 8 and 9 are solutions to the above inequality.
The smallest number that will make the inequality true is 7.