16Hit1600
AlgebraHardGreatest integer in a solution set

Algebra practice question

What is the greatest integer x for which 4 − 2x > −6?

Answer: 4

−2x > −10 gives x < 5, so the greatest integer is 4.

Common wrong answers

If you answered 1
1 solves 4 − 2x > 2.
If you answered 5
5 gives 4 − 10 = −6, which is not greater than −6.
If you answered -5
−5 forgets to reverse the inequality.

More Algebra questions

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