Question

$x=$ satisifies the algebraic inequality $7-x\le 3$,

• A. $3$
• B. $-4$
• C. $4$
• D. $0$

Answer 1

The correct option is C $4$

Given algebraic inequality $7-x\le 3$
Step 1: Subtract $7$ from both sides of the algebraic inequality
$\Rightarrow 7-x-7\le 3-7$
$\Rightarrow -x\le -4$
Step 2: Multiply both sides of the algebraic inequality $-1$
$\Rightarrow (-x)\times (-1)\ge (-4)\times (-1)$
$\Rightarrow x\ge 4$
Among the options given, $x=4$ satisfies the algebraic inequality.