Home > Algebra > Multi-Step Inequalities

How do you solve #-35+6n<7n#?

Answer 1

Eva Adamson

See below:-

#-35+6n<7n#

#rArr-35<7n-6n#

#rArr -35 < n #

#:.n > - 35#

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Eli Assouline

To solve the inequality (-35 + 6n < 7n), first, add (35) to both sides to isolate the variable term:

(-35 + 6n + 35 < 7n + 35)

This simplifies to:

(6n < 7n + 35)

Next, subtract (7n) from both sides to isolate the variable term:

(6n - 7n < 7n - 7n + 35)

This simplifies to:

(-n < 35)

To isolate (n), divide both sides by (-1), but remember to flip the inequality sign because we're dividing by a negative number:

(-n/-1 > 35/-1)

This simplifies to:

(n > -35)

So, the solution to the inequality is (n > -35).

By signing up, you agree to our Terms of Service and Privacy Policy

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 #-35+6n&lt;7n#?

How do you solve #-35+6n<7n#?