which disjunction is always true for any real number x?\na number, x, is less than 0 or greater than 1.\na…

which disjunction is always true for any real number x?\na number, x, is less than 0 or greater than 1.\na number, x, is less than 0 or greater than 0.\na number, x, is greater than 5 or less than 10.\na number, x, is greater than 5 or less than 1.

which disjunction is always true for any real number x?\na number, x, is less than 0 or greater than 1.\na number, x, is less than 0 or greater than 0.\na number, x, is greater than 5 or less than 10.\na number, x, is greater than 5 or less than 1.

Answer

Answer:

A number, $x$, is greater than 5 or less than 10.

Explanation:

Step1: Analyze first option

For $0\leq x\leq1$, it's false.

Step2: Analyze second option

When $x = 0$, it's false.

Step3: Analyze third option

Consider real - number line. Any real number $x$ either satisfies $x>5$ or $x < 10$.

Step4: Analyze fourth option

For $1\leq x\leq5$, it's false.