-78 IS GREATER THAN OR EQUAL TO - 8 +5n

Mathematics · Middle School · Thu Feb 04 2021

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Given the statement:

-78 is greater than or equal to  - 8 + 5n

Solution:

The given statement can be written as,

-78 ≥ -8 + 5n

In order to solve for the inequality, we solve for n. To do so, transpose -8 to the other side of the equation, hence it must be taken to note that in transposing a number, the sign changes.

-78 ≥ -8 + 5n

-78 + 8 ≥  5n

-70 ≥  5n

Divide both sides by 5 in order to determine the value of n.

-70/5 ≥  5n/5

-14 ≥  n

Final answer:

-14 ≥  n