27. Solve the inequality 3(3x + 7) > 4-8(4 + 5x).
Mathematics · Middle School · Thu Feb 04 2021
Answered on
Given the inequality:
3(3x + 7) > 4 - 8 (4 + 5x)
Solve the inequality.
Solution:
in order to solve for the inequality, the first step is to distribute 3 and 8 to their corresponding parenthesis. Then we need to combine similar terms.
3(3x + 7) > 4 - 8 (4 + 5x)
9x + 21 > 4 - 32 - 40x
9x + 21 > -28 - 40x
Transpose 21 and -40x to the opposite sides of the equation, hence it must be taken to note that in transposing numbers, the sign changes.
9x + 40x > - 28 - 21
49x > -49
49x/49 > -49/49
x > -1
Final answer:
x > -1