Solve the inequality 2(n + 3) - 4 < 6

Answer in inequality form : n < 2
answer in interval notation : (-♾, 2)

n < 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Step-by-step explanation:

Step 1: Define

2(n + 3) - 4 < 6

Step 2: Solve for n

[Addition Property of Equality] Add 4 on both sides:                                   2(n + 3) < 10[Division Property of Equality] Divide 2 on both sides:                                n + 3 < 5[Subtraction Property of Equality] Subtract 3 on both sides:                       n < 2

Here we see that any value n smaller than 2 would work as a solution to the inequality.

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