16Hit1600
AlgebraVery hardGreatest integer after distributing a negative

Algebra practice question

What is the greatest integer value of x that satisfies −3(x − 2) > 2x − 4?

Answer: 1

−3x + 6 > 2x − 4 gives 10 > 5x, so x < 2. The greatest integer is 1.

Common wrong answers

If you answered 0
0 comes from distributing −3 only over x.
If you answered 2
2 makes both sides 0, and 0 > 0 is false.
If you answered -1
−1 satisfies it but is not the greatest.

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