Question

Solve for n. -2(n − 5.5) > 21.

a. n < -5
b. n > -5
c. n < 5
d. n > 5

Answer 1

To solve the inequality, distribute the -2 across the parentheses, subtract 11 from both sides, and finally divide by -2, reversing the inequality sign. The correct solution is n < -5.

Step-by-step explanation:

To solve the inequality -2(n − 5.5) > 21, we will first distribute the -2 to both terms inside the parentheses, which gives us -2n + 11 > 21. Next, we subtract 11 from both sides to isolate the term with the variable, resulting in -2n > 10. Finally, we divide both sides by -2, remembering to reverse the inequality sign because we are dividing by a negative number, ending up with n < -5.

The correct answer to the inequality is n < -5, which corresponds to option (a).