AlgebraHardGreatest integer in a two-sided inequality
Algebra practice question
If 5 − 2x ≥ 3x − 10 and x is an integer, what is the greatest possible value of x?
Answer: 3
15 ≥ 5x gives x ≤ 3.
Common wrong answers
- If you answered 4
- 4 gives −3 on the left and 2 on the right.
- If you answered 15
- 15 stops at 15 ≥ 5x.
- If you answered -3
- −3 has the sign wrong.
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.