Solve the compound inequality. Graph the solution set (if one exists) and write it using interval notation. $25 3 x - 2 4$
A) $( - \infty , 2 ) \cup ( 9 , \infty )$
B) $( 9 , \infty )$
C) $( - \infty , 2 )$
D) $( - \infty , \infty )$
E) $( 2,9 )$

Question

Solve the compound inequality. Graph the solution set (if one exists) and write it using interval notation. $25 > 3 x - 2 > 4$
A) $( - \infty , 2 ) \cup ( 9 , \infty )$ 
B) $( 9 , \infty )$ 
C) $( - \infty , 2 )$ 
D) $( - \infty , \infty )$ 
E) $( 2,9 )$

Quizplus · Accepted Answer

Substracting 2 from all the parts of the inequality, we get $23>3x>2$. Dividing all parts of the inequality by 3, we get $\frac{23}{3}>x>\frac{2}{3}$, which can be written as $(\frac{2}{3},\frac{23}{3})$. Thus, the answer is choice E.

Solve the Compound Inequality 25>3x−2>425 > 3 x - 2 > 425>3x−2>4

Solve the Compound Inequality $25 > 3 x - 2 > 4$