Question

assume x is a particular real number and use de morgan’s laws to write negations for the statement 2>x>-10

Answer 1

`2 > x > -10` is equivalent to
`x < 2 \wedge x > -10`.

One of the de Morgan's Laws is
`\\eg (p \wedge q)\Leftrightarrow \\eg p\vee \\eg q`.

Therefore, we can write

`\\eg (2 > x > -10)\Leftrightarrow \\eg(x < 2) \vee \\eg(x > -10) \Leftrightarrow x > 2 \vee x < -10`