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How do you solve the inequality #-2/3x> -8#?

Answer 1

Avery Alexander

#x<12#

#-2/3x > -8#

Multiply 3 both sides

#=> 3xx-2/3>3xx-8#

#=> -2x > -24#

Divide by 2 both sides

#=> -2/2x > -24/2#

#=> -x > -12#

For changing the sign , the greater than becomes smaller than.

#=> x < 12#

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Answer 2

Ethan Adkins

To solve the inequality (-\frac{2}{3}x > -8), follow these steps:

Multiply both sides of the inequality by (-\frac{3}{2}) to isolate (x).
When you multiply by a negative number, flip the direction of the inequality sign.
Simplify the expression to find the solution for (x).

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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 the inequality #-2/3x&gt; -8#?

How do you solve the inequality #-2/3x> -8#?