Question

Which of the following option(s) satisfy the inequality $x-3\le 12?$

• A. $x=16$
• B. $x=15$
• C. $x=10$
• D. $x=20$

Answer 1

Answer: (B), (C)

$x=10$

Given, $x-3\le 12$

Add 3 to both the sides of the inequality in order to eliminate the 3 present on the left hand side.

Also, adding the same number to each side of an inequality does not change the direction of the inequality symbol.
$\Rightarrow x-3+3\le 12+3\Rightarrow x\le 15$

So, the value of $x$ which is less than or equal to $15$ satisfies the given inequality.

Hence, $x=15$ and $x=10$ satisfy the given inequality.