How do you solve 3-6n-4<17?

2 Answers
Shantelle
Jul 21, 2018

n > -3

Explanation:

3-6n-4 < 17

Simplify the left hand side:
-1 - 6n < 17

Add color(blue)(6n) to both sides of the inequality:
-1 - 6n quadcolor(blue)(+quad6n) < 17 quadcolor(blue)(+quad6n)

#-1 < 17 + 6n

Subtract color(blue)17 from both sides:
-1 quadcolor(blue)(-quad17) < 17 + 6n quadcolor(blue)(-quad17)

-18 < 6n

Divide both sides by color(blue)6:
(-18)/color(blue)6 < (6n)/color(blue)6

-3 < n

n > -3

This can be said as "n is greater than -3."
enter image source here
(mathwarehouse.com)

The open circle on the -3 means that -3 is not a solution (but anything greater than it).

Hope this helps!

Jacobi J.
Jul 21, 2018

n> -3

Explanation:

We can simplify left side to -1-6n. We now have

-1-6n<17

Next, we can add 1 to both sides to get

-6n<18

Lastly, divide both sides by 6 to isolate n. Recall that since we divided by a negative, the sign flips. We're left with

n> -3

Hope this helps!

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