How do you solve the inequality #4n-6>6n-20#?

Answer 1

The answer is #n<7# or #n in (-oo;7)#

To solve inequality you can add or substract terms from both sides. You can also multiply or divide both sides by the same number different from zero.

If you multiply or divide by a negative number you have to remember to change the sign of inequality

#4n-6>6n-20#

#4n-6n>6-20#

#-2n>-14#

#n<7#

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Answer 2

Genesis Allen

To solve the inequality ( 4n - 6 > 6n - 20 ), you need to isolate the variable ( n ) by performing operations to both sides of the inequality.

First, subtract ( 4n ) from both sides:

[ -6 > 2n - 20 ]

Next, add 20 to both sides:

[ 14 > 2n ]

Finally, divide both sides by 2:

[ 7 > n ]

So, the solution is ( n < 7 ).

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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 #4n-6&gt;6n-20#?

How do you solve the inequality #4n-6>6n-20#?