solve 7(x-6)<4(2x-1)

Mathematics · Middle School · Mon Jan 18 2021

Answered on

Given the numerical inequality:

7( x - 6 ) < 4 (2x - 1)

Solve for x.

Solution:

In order to solve for x, we simply must distribute first 7 and 4 to their corresponding parenthesis.

7( x - 6 ) < 4 (2x - 1)

7x - 42 < 8x - 4

Transpose 7x and -4 on the opposite sides of the equation, hence it must be taken to note that in transposing a number, the sign changes.

-42 + 4 < 8x - 7x

-38 < x

Final answer:

-38 < x