Question

Find the solution set to the inequality.

4x - 1 < 11

Answer 1

4x - 1 < 11
Add 1 to both sides
4x < 12
Divide both sides by 4
x < 3
x is less than 3

Answer 2

x < 3

Explanation:

Isolate the variable, x. Treat the < sign as an equal sign, what you do to one side, you do to the other.

Do the opposite of PEMDAS.

PEMDAS is the order of operation, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

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First, add 1 to both sides of the equation:

4x - 1 (+1) < 11 (+1)

4x < 11 + 1

4x < 12

Next, divide 4 from both sides of the equation:

(4x)/4 < (12)/4

x < 12/4

x < 3

x < 3 is your answer.

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