AlgebraMediumLeast integer satisfying a strict inequality
Algebra practice question
What is the least integer x for which 3x − 5 is greater than 2x + 1?
Answer: 7
3x − 5 > 2x + 1 → x > 6. The least integer greater than 6 is 7.
Common wrong answers
- If you answered 5
- 5 gives 10 versus 11, which fails.
- If you answered 6
- 6 makes the two sides equal (13 = 13), and the inequality is strict.
- If you answered -4
- −4 comes from solving 3x − 5 > 2x + 1 as x > −4, mishandling the constants.
More Algebra questions
- Medium
A system: 2x + y = 11 and x − y = 1. What is the value of x + y? - Medium
Which of the following describes all solutions to 4x − 9 ≤ 2x + 5? - Medium
A phone's battery percentage is modeled by P = 100 − 8t, where t is the number of hours since it was unplugged… - Medium
If y = 2x − 1 and 3x + y = 14, what is the value of x? - Medium
If |2x − 3| = 7, what is the sum of all possible values of x? - Medium
Line k has equation y = (2/3)x + 1. Which equation represents a line perpendicular to line k?
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