How many positive integers satisfy ?
Answer and explanation
Correct answer: B.
- Step 1: , so .
- Step 2: The positive integers less than are : that is values.
Answer
.
Why not the others: is what you get if you include the boundary value. is what you get if you leave out one of the allowed values. is what you get if you count one value too many.
Practise more Algebra and Equations.
Free questions with an explanation for every one, and full timed GCE O/L Mathematics (Sri Lanka) mock tests.
More Algebra and Equations questions
- Solve and give the larger root.
- Solve the simultaneous equations and . Find the value of .
- If , find when and .
- Find the sum of the first terms of the arithmetic progression
- The length of a rectangle is more than its width. Its area is . Find the width.
- In an arithmetic progression the term number is and the term number is . Find the term number .