Which of the following has no solution? x ≤ 1 and x x < 1 and x > 1 x or x ≥ 1

Question

Which of the following has no solution?

x and x
x < 1 and x
x or x

Answer 1

a)


`\\,x \leq 1\\, \cap \,\\,x \geq 1\=(-\infty;1]\,\cap\,[1,\infty)=\{1\}`

b)


`\\,x \ \textless \ 1\\, \cap \,\\,x \ \textgreater \ 1\=(-\infty;1)\,\cap\,(1,\infty)=\boxed{\emptyset}`

c)


`\\,x \leq 1\\, \cup \,\x\,=(-\infty;1]\,\cup\,[1,\infty)=\mathbb{R}`

Answer b)