decide whether the statement is true or false explain for some real numbers x,x<7 and x > 4
To determine whether the statement is true or false, we need to analyze the given information.
The statement states that "for some real numbers x, x < 7 and x > 4." Let's understand what this means.
"x < 7" says that the variable x is less than 7. This means any value of x that is smaller than 7 satisfies this condition.
"x > 4" says that the variable x is greater than 4. This means any value of x that is larger than 4 satisfies this condition.
To decide if the statement is true, we need to check if there exists a real number x that is simultaneously less than 7 and greater than 4.
Since there are many real numbers between 4 and 7, such as 5, 5.5, 6, etc., it is indeed true that for some real numbers x, x < 7 and x > 4.
So, the statement is true.