Solve the inequality. Write the answer in interval notation.
- 3(2 x-9)-4 x-(x+6)
A) $( 11 , \infty )$
B) $( 21 , \infty )$
C) $( 7 , \infty )$
D) $( - \infty , 4 )$

Question

Solve the inequality. Write the answer in interval notation.
- 3(2 x-9)-4 x>-(x+6) 
A) $( 11 , \infty )$
B) $( 21 , \infty )$
C) $( 7 , \infty )$
D) $( - \infty , 4 )$

Quizplus · Accepted Answer

First, distribute and simplify both sides: $6x - 27 - 4x > -x - 6$. Combining like terms gives $2x - 27 > -x - 6$. Adding $x$ and $27$ to both sides gives $3x > 21$, so $x > 7$. Thus, the solution in interval notation is $(7, \infty)$.

Solve the Inequality (11,∞)( 11 , \infty )(11,∞) B) (21,∞)( 21 , \infty )(21,∞)

Solve the Inequality $( 11 , \infty )$ B) $( 21 , \infty )$