2 + m < 2 is m < 0 but how would I check it?
you would try to get the variable alone on one side. to do this you would subtract 2 from both sides. this would completely cancel out the 2 in 2+m leaving the variable alone and you would get m<0
subtract 2 from each side
2-2+m<2-2
m<0
To check if the inequality 2 + m < 2 is true for m < 0, you can follow these steps:
Step 1: Start with the given inequality: 2 + m < 2
Step 2: Subtract 2 from both sides of the inequality: (2 + m) - 2 < 2 - 2
Simplifying, we have:
m < 0
Step 3: Now that we have m < 0, we can check if this statement is true. For any value of m that is less than 0 (negative numbers), the inequality 2 + m < 2 will hold true.
For example, let's take m = -1. We substitute -1 into the inequality:
2 + (-1) < 2
Simplifying, we have:
1 < 2
Since 1 is indeed less than 2, we can conclude that the inequality holds true for m = -1.
Similarly, you can substitute any negative number for m and verify that the inequality holds true. However, if you substitute a positive number for m, you will find that the inequality does not hold true.
Hence, to check if m < 0 satisfies the inequality 2 + m < 2, you can test it using numerical values and verify that it holds true for all negative values of m.