Question

Solve the following inequality.

21 < -3( x – 4) < 30
OA. -6 OB. -3 < 5 < 6
OC. 28 <<37
OD. -10 < 1< -3

Answer 1

-6 < x < -3

Explanation:

21 < -3( x – 4) < 30

Divide all sides by -3, remembering to flip the inequalities

21/-3 > -3/-3( x – 4) > 30/-3

-7 > x-4 > -10

Add 4 to all sides

-7+4 > x-4+4 > -10+4

-3 > x > -6

Rewrite

-6 < x < -3