Question

Find the maximum value of $x,$ if $5x-8\le 12.$

Answer 1

Given, $5x-8\le 12$

Step 1: Add 8 to both sides of the inequality in order to remove the 8 on the left hand side.
Also, adding both sides of the inequality by a positive number does not change the direction of the inequality.
$5x-8+8\le 12+8$
$5x\le 20$

Step 2: Divide both sides of the inequality by 5.
Also, dividing both sides of the inequality by a positive number does not change the direction of the inequality.
$\frac{5x}{5}\le \frac{20}{5}$
$x\le 4$

So, the value of $x,$ which is less than or equal to 4 satisfies the given inequality.

Hence, maximum value of the $x$ is $4.$