Seven less than twice a number is no more than 77

Question

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Answer 1

Call the number x. Then we have the following 

 

2x - 7 ≤ 77

 

2x ≤ 84

 

x ≤ 42

 

In these sort of problems, you have to look for certain cues. "No more than" means that this is a "less than or equal to" inequality. "Seven less than" implies that you have to subtract 7 from the number. "Twice a number" implies multiplication. 

Answer 2

n is the number

 

2n - 7 is 7 less than twice 

the number

 

2n - 7 ≤ 77

 

     2n ≤ 84

 

      n ≤ 42