Question

Solve the inequality: r/−3.5 ​> 9.1 for r.

a. r<−31.85

b. r>−31.85

c. r<−2.6

d. r>2.6

Answer 1

The solution to the inequality involves multiplying both sides by -3.5 and reversing the inequality sign, which results in r < -31.85, which corresponds to option (a).

Step-by-step explanation:

To solve the inequality r/-3.5 > 9.1, we need to isolate the variable r on one side of the inequality. Multiplying both sides of the inequality by -3.5 and remembering to reverse the inequality sign when multiplying or dividing by a negative number, we get:

r < (-3.5) * 9.1

Solving this gives us a negative number:

r < -31.85

Therefore, the correct answer corresponds to option (a) r < -31.85.