Question

Which of the following option(s) satisfy the inequality $1\le x<7?$

• A. $x=0$
• B. $x=3$
• C. $x=10$
• D. $x=5$

Answer 1

Answer: (B), (D)

$x=5$

$1\le x<7$ is a combination of $1\le x$ and $x<7.$

$1\le x$ can be written as $x\ge 1,$ which represents the numbers greater than or equal to $1$.
$x<7$ represents the numbers less than $7$.

Hence, $1\le x<7$ represents the numbers greater than or equal to $1$ and less than $7$.

Hence, the value of $x,$ which is greater than or equal to 1 and less than 7 are part of the solution.

$\left(A\right)x=0$
$\because 0<1\to \text{REJECTED}$

$\left(B\right)x=3$
$\because 1\le 3<7\to \text{ACCEPTED}$

$\left(C\right)x=10$
$\because 10>7\to \text{REJECTED}$

$\left(D\right)x=5$
$\because 1\le 5<7\to \text{ACCEPTED}$