Question

Which of these option(s) are a compound inequality?

• A. $x>3$ or $x<5$
• B. $x<3$ and $x<1$
• C. $x\le 0$ and $x>-1$
• D. $x\le 3$

Answer 1

Answer: (A), (B), (C)

$x\le 0$ and $x>-1$

Definition: A pair of inequalities are connected by "and"/"or" statement.

Option (a): $x>3$ $\underset{–}{\text{or}}$ $x<5$
Accepted

Option (b): $x<3$ $\underset{–}{\text{and}}$ $x<1$
Accepted

Option (c): $x\le 0$ $\underset{–}{\text{and}}$ $x>-1$
Accepted

Option (d): $x\le 3$
As there is only one inequality, hence it is rejected.
Rejected