what is 8g-6(g+1)<4(2g-9)
Mathematics · Middle School · Sun Jan 24 2021
Answered on
Given the equation:
8g - 6(g + 1) < 4 ( 2g - 9 )
Solve the inequality.
Solution:
In order to solve the inequality, we simply needed to distribute 4 and -6 to their corresponding parenthesis.
8g - 6(g + 1) < 4 ( 2g - 9 )
8g - 6g + 6 < 8g - 36
2g + 6 < 8g - 36
Transpose -36 and 2g to the opposite sides of the equation, hence it must be taken to note that in transposing a number, the sign changes.
6 + 36 < 8g - 2g
42 < 6g
Divide both sides of the equation by 6 in order to determine the value of g.
42/6 < 6g/6
7 < g
Final answer:
7 < g