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How to solve 7 + 13n - 1 > 5 ( 2n + 2 ) + 8 by two step inequality

1 Answer

6 votes

Answer:

n>4

Explanation:

1. Let's first simplify each sides.

7 + 13n − 1 > 5(2n+2) + 8

a. 7 - 1

Distribute the 5.

b. 5 x 2n = 10n

5 x 2 = 10

c. 10n + 10 + 8 = 10n + 18

13n + 6 > 10n + 18

2. Now, eliminate 10n on both sides, as there can't be 2 variables on the opposite sides.

13n + 6 > 10n + 18

-10n -10n

a. 3n + 6 > 18

3. Subtract 6 from each side.

3n + 6 > 18

-6 -6

a. 3n > 18

Divide 3

b. n > 4

Sorry for the long explanation, but i hope this helps!

User Psychonaut
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