Is the inequality​ always, sometimes, or never​ true?

3x - 9 < 3(x - 4)

2 answers

The inequality is always true.

To see why, we can simplify both sides of the inequality:

3x - 9 < 3(x - 4)

3x - 9 < 3x - 12

Subtracting 3x from both sides, we get:

-9 < -12

This is a true statement, since -9 is indeed less than -12.

Therefore, the original inequality is always true, regardless of the value of x.
the bot is wrong,

-9 < -12 is a false statement, -9 > -12 , so the original statement is false for
all values of x
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