Question

Solve the inequality and find the solutions 3.1 ≥ -1.0m.

A) m ≤ -3.1
B) m ≥ -3.1
C) m ≤ 3.1
D) m ≥ 3.1

Answer 1

B) m ≥ -3.1. To solve the inequality 3.1 ≥ -1.0m, divide both sides by -1.0 and flip the inequality sign. The solution is m ≥ -3.1.

Step-by-step explanation:

To solve the inequality 3.1 ≥ -1.0m, we need to isolate the variable m. We can do this by dividing both sides of the inequality by -1.0. However, when dividing by a negative value, the inequality sign must be flipped. So, we have:

3.1/-1.0 ≤ m

Simplifying the left side, we get:

-3.1 ≤ m

Therefore, the solution to the inequality is m ≥ -3.1, which can be written as option B) m ≥ -3.1.