16Hit1600
AlgebraVery hardLeast integer x for a point in a system of inequalities

Algebra practice question

The point (k, 3) satisfies both y < 2x − 1 and y ≥ −x + 4. What is the least possible integer value of k?

Answer: 3

3 < 2k − 1 gives k > 2, and 3 ≥ −k + 4 gives k ≥ 1. The least integer greater than 2 is 3.

Common wrong answers

If you answered 1
1 satisfies only the second inequality.
If you answered 2
2 makes 2k − 1 equal to 3, not greater than 3.
If you answered 4
4 works but is not the least.

More Algebra questions

Not affiliated with the College Board. SAT is a trademark of the College Board.