Solve the compound inequality. Give the answer in interval notation.
- -9x-27 or x+911
A) $( 2 , \infty )$
B) $( - \infty , 2 ) \cup ( 3 , \infty )$
C) (2,3)
D) $( - \infty , \infty )$

Question

Solve the compound inequality. Give the answer in interval notation.
- -9x>-27  or  x+9>11 
A) $( 2 , \infty )$
B) $( - \infty , 2 ) \cup ( 3 , \infty )$
C)  (2,3) 
D) $( - \infty , \infty )$

Quizplus · Accepted Answer

Solving each inequality: For -9x > -27, divide both sides by -9 (remember to flip the inequality sign when dividing by a negative number), getting x < 3. For x + 9 > 11, subtract 9 from both sides to get x > 2. Since these are "or" conditions, the solution is all x less than 3 and all x greater than 2, which is all real numbers, hence $( - \infty , \infty )$.

Solve the Compound Inequality (2,∞)( 2 , \infty )(2,∞) B) (−∞,2)∪(3,∞)( - \infty , 2 ) \cup ( 3 , \infty )(−∞,2)∪(3,∞)

Solve the Compound Inequality $( 2 , \infty )$ B) $( - \infty , 2 ) \cup ( 3 , \infty )$