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How do you solve the inequality #-6v-3> -33#?

Answer 1

Julia Adams

#v<5#

Given,

#-6v-3> -33#

Add #3# to both sides.

#-6v-3color(white)(i)color(red)(+3)> -33color(white)(i)color(red)(+3)#

#-6v> -30#

Divide both sides by #-6#.

#color(red)((color(black)(-6v))/(-6))> color(red)((color(black)(-30))/(-6))#

#v>5#

Since you divided the inequality by a negative number, you must flip the sign.

#color(green)(|bar(ul(color(white)(a/a)color(black)(v<5)color(white)(a/a)|)))#

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Answer 2

Hazel Anglin

To solve the inequality (-6v - 3 > -33), first, add 3 to both sides to isolate the term involving (v):

(-6v - 3 + 3 > -33 + 3)
(-6v > -30)

Next, divide both sides by -6. Remember, when dividing or multiplying both sides of an inequality by a negative number, reverse the direction of the inequality:

(-6v / -6 < -30 / -6)
(v < 5)

So, the solution to the inequality is (v < 5).

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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 #-6v-3&gt; -33#?

How do you solve the inequality #-6v-3> -33#?