Question

Which of the following option(s) satisfy the inequality $x>-6?$

• A. $x=0$
• B. $x=-4$
• C. $x=-7$
• D. $x=2$

Answer 1

Answer: (A), (B)

$x=-4$

$x>-6$

The symbol used is ''greater than'' $(>)$ so an open circle must be used at -6, which means -6 is not included in our solution.

$x$ is greater than -6, so the arrow from the circle must show the numbers that are larger than -6.


Hence, the value(s) of $x,$ which is/are greater than -6 are part of the solution.

$\left(A\right)x=0$
$\because 0>-6\to \text{ACCEPTED}$

$\left(B\right)x=-4$
$\because -4>-6\to \text{ACCEPTED}$

$\left(C\right)x=-7$
$\because -7<-6\to \text{REJECTED}$

$\left(D\right)x=2$
$\because 2>-6\to \text{ACCEPTED}$

$\text{Hence, the values of}x,\text{which are greater than}-6\text{are}0\text{and}-4\text{.}$