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How do you solve #-2x > 1/9#?

Answer 1

Solve for #x# as if you were solving an equation, except that when you divide by a negative number, the inequality is reversed.

#-2x>1/9#

Divide both sides of the inequality by #-2#. This will reverse the inequality.

#x<1/9-:-2/1# =

#x< 1/9*-1/2# =

#x<-1/18#

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Answer 2

Eva Abramson

To solve the inequality (-2x > \frac{1}{9}):

Divide both sides of the inequality by (-2). Since dividing by a negative number reverses the inequality sign, we flip the inequality sign.
(\frac{-2x}{-2} < \frac{1/9}{-2})
(x < -\frac{1}{18})

So, the solution to the inequality is (x < -\frac{1}{18}).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

How do you solve #-2x &gt; 1/9#?

How do you solve #-2x > 1/9#?