Solve the inequality. $- 2 ( z + 4 ) 6$
A) $( - \infty , - 7 ]$
B) $( - 7 , \infty )$
C) $( - \infty , 1 )$
D) $( - \infty , - 7 )$
E) $( 1 , \infty )$

Question

Solve the inequality. $- 2 ( z + 4 ) > 6$
A) $( - \infty , - 7 ]$
B) $( - 7 , \infty )$
C) $( - \infty , 1 )$
D) $( - \infty , - 7 )$
E) $( 1 , \infty )$

Quizplus · Accepted Answer

First, distribute the -2 across the parentheses: -2z - 8 > 6. Then, add 8 to both sides: -2z > 14. Divide both sides by -2, remembering to flip the inequality sign because we're dividing by a negative number: z < -7. This corresponds to all numbers less than -7, which is option D, $( - \infty , - 7 )$.

Solve the Inequality −2(z+4)>6- 2 ( z + 4 ) > 6−2(z+4)>6

Solve the Inequality $- 2 ( z + 4 ) > 6$