Question

Solve the inequality: 22 ≥ 4m - 2 or 5 - 3m ≥ -13.

Answer 1

To solve the inequality 22 ≥ 4m - 2 or 5 - 3m ≥ -13, we solve each inequality separately and find the values of m that satisfy both inequalities. The solution to the inequality is m ≤ 6.

Step-by-step explanation:

To solve the inequality 22 ≥ 4m - 2 or 5 - 3m ≥ -13, you need to solve each inequality separately and find the values of m that satisfy both inequalities. Let's start with the first inequality:

22 ≥ 4m - 2

Adding 2 to both sides of the inequality, we get:

24 ≥ 4m

Dividing both sides of the inequality by 4, we get:

6 ≥ m

This means that m can take any value less than or equal to 6.

Now, let's solve the second inequality:

5 - 3m ≥ -13

Subtracting 5 from both sides of the inequality, we get:

-3m ≥ -18

Dividing both sides of the inequality by -3, we need to flip the inequality sign due to dividing by a negative value:

m ≤ 6

So, the solution to the inequality is m ≤ 6.