Question

Which of the following is true for the value of unknown in algebraic inequality $28-k\ge 7(k-4)$

• A. $k\le 7$
• B. $k\ge 7$
• C. $k<7$

Answer 1

The correct option is A $k\le 7$

Given algebraic inequality : $28-k\ge 7(k-4)$
Add $k$ on both sides of the inequality
$\Rightarrow 28-k+k\ge 7k-28+k$
$\Rightarrow 28\ge 8k-28$
Add $28$ on both sides of the inequality
$\Rightarrow 28+28\ge 8k-28+28$
$\Rightarrow 56\ge 8k$
Divide $8$ on both sides of inequality
$\Rightarrow \frac{56}{8}\ge \frac{8k}{8}$
$\Rightarrow 7\ge k\text{or}k\le 7$