Solve one-variable inequalities and identify the largest or smallest integer values that satisfy a given constraint.
84 original linear inequalities questions in the SAT Ranker bank, with instant scoring and an Elo-based rank once you sign up. Below are a few free samples with full explanations.
If 2x − 3 < 11, what is the largest integer value x can be?
Add 3 to both sides: 2x < 14. Divide by 2: x < 7. The largest integer satisfying x < 7 is 6.
If 4x - 9 > 15, what is the smallest integer value x can be?
Solving gives x > 6, so the smallest integer satisfying that is 7.
If 3x + 12 < 27, what is the largest integer value x can be?
Solving gives x < 5, so the largest integer satisfying that is 4.
If 4x - 7 < 25, what is the largest integer value x can be?
Solving gives x < 8, so the largest integer satisfying that is 7.
If 5x - 1 < -1, what is the largest integer value x can be?
Solving gives x < 0, so the largest integer satisfying that is -1.