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How do you solve # ( -3 ) / (-3x - 4 ) > 0#?

Answer 1

Avery Alexander

#x < (-4/3)#

#(-3)/(-3x-4) iff 3/(3x+4)#

If #3/(3x+4) < 0# then #color(white)("XXX")(3x-4)# must be negative

#color(white)("XXX")3x+4 < 0#

#color(white)("XXX")3x < -4#

#color(white)("XXX")x < -4/3#

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Answer 2

Eva Adamson

To solve the inequality ( \frac{-3}{-3x - 4} > 0 ), first find the critical points where the expression equals zero or is undefined. Then, test intervals between these critical points to determine where the expression is positive.

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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 # ( -3 ) / (-3x - 4 ) &gt; 0#?

How do you solve # ( -3 ) / (-3x - 4 ) > 0#?