AlgebraHardGreatest integer for an inequality with subtraction
Algebra practice question
What is the greatest integer x for which 10 − 3x > 1?
Answer: 2
−3x > −9 gives x < 3, so the greatest integer is 2.
Common wrong answers
- If you answered 3
- 3 gives 10 − 9 = 1, which is not greater than 1.
- If you answered 9
- 9 stops at 3x = 9.
- If you answered -3
- −3 forgets to reverse the inequality.
More Algebra questions
- Hard
For how many integer values of x is −2 < (x − 5)/3 ≤ 1 true? - Hard
The system 2x + 3y = 6 and 4x + 6y = k has infinitely many solutions. What is the value of k? - Hard
Which of the following is the complete solution set to |x − 4| < 6? - Hard
A student has $40 to spend on notebooks costing $4 each and pens costing $2 each, and wants at least 12 items … - Hard
What is the least whole number of minutes of international calling in a month for which the total monthly cost… - Hard
How many liters of the 30% acid solution did the technician use?
Not affiliated with the College Board. SAT is a trademark of the College Board.