Final answer:
To solve the inequality 7m ≤ –53, divide both sides by 7 to isolate m, which gives m ≤ ―8. Thus, any number less than or equal to ―8 is a solution to the inequality.
Step-by-step explanation:
To find which of the following is a solution to the inequality 7m ≤ –53, we need to isolate the variable m on one side of the inequality. We can do this by dividing both sides of the inequality by 7, which is the coefficient of m.
The steps are as follows:
- Start with the inequality 7m ≤ –53.
- Divide both sides of the inequality by 7 to get m ≤ –53/7.
- Calculate –53/7 to get m ≤ ―7.57…, which can be rounded to m ≤ ―8 when considering integers.
Therefore, any value of m that is less than or equal to ―8 is a solution to the inequality.