11. What is the solution to the inequality –2x+8 <3 (2x – 4)?
Mathematics · Middle School · Thu Feb 04 2021
Answered on
Given the inequality:
-2x + 8 < 3 ( 2x - 4 )
Determine the solution of the inequality.
Solution:
In order to determine the solution of the inequality, we simply need to distribute first 3 to each value inside the parenthesis.
-2x + 8 < 3 ( 2x - 4 )
-2x + 8 < 6x - 12
Transpose -12 and -2 to the opposite sides of the equation, hence it must be taken to note that in transposing a number, the sign changes.
8 + 12 < 6x + 2x
20 < 8x
Divide both sides by 8 in order to cancel out 8x, leaving behind x.
20/8 < 8x/8
x = 20/8
Final answer:
x = 20/8