Solve the compound inequality. Give the answer in interval notation.
-x+9

Question

Solve the compound inequality. Give the answer in interval notation.
-x+9<7 and -9 x<-45
A) $( - \infty , - 2 ) \cup ( 5 , \infty )$
B)  (-2,5) 
C) $( - \infty , - 2 )$
D) $\varnothing$

Quizplus · Accepted Answer

The first inequality $x + 9 < 7$ simplifies to $x < -2$. The second inequality $-9x < -45$ simplifies to $x > 5$. There is no number that is both less than $-2$ and greater than $5$ simultaneously, so the solution is the empty set, $\varnothing$.

Solve the Compound Inequality (−∞,−2)∪(5,∞)( - \infty , - 2 ) \cup ( 5 , \infty )(−∞,−2)∪(5,∞)

Solve the Compound Inequality $( - \infty , - 2 ) \cup ( 5 , \infty )$