Ganesa wanted to write numerical examples for the inequality a<b, with the conditions described in the table. One of the conditions cannot be met. Complete the table. Indicate which condition cannot be met.
condition
a<0 and b<0
a<0 and b>0
a>0 and b<0
a>0 and b>0
numerical example for a<b
Like Maya said it's going to be the second one.
2nd one
To generate a numerical example for each condition, let's consider the values of a and b separately.
Condition: a<0 and b<0
Numerical example: a = -3, b = -1
Condition: a<0 and b>0
Numerical example: Since this condition cannot be met, we cannot provide a numerical example.
Condition: a>0 and b<0
Numerical example: a = 2, b = -4
Condition: a>0 and b>0
Numerical example: a = 5, b = 7
In this case, the condition that cannot be met is "a<0 and b>0".
To write numerical examples for the inequality a < b based on the given conditions, we need to find values of a and b that satisfy each condition. Let's examine each condition one by one:
1. a < 0 and b < 0: In this case, both a and b are negative.
Numerical example: a = -5, b = -3
In this example, -5 is less than -3.
2. a < 0 and b > 0: Here, a is negative, but b is positive.
Numerical example: a = -5, b = 3
Again, -5 is less than 3.
3. a > 0 and b < 0: In this scenario, a is positive, but b is negative.
Numerical example: a = 5, b = -3
Once again, 5 is greater than -3.
4. a > 0 and b > 0: Finally, both a and b are positive.
Numerical example: a = 5, b = 3
As expected, 5 is greater than 3.
From the examples provided, all the conditions can be met. Therefore, there is no condition that cannot be satisfied.