Question

(iii) 3-x < 4x - 12​

Answer 1

$Given \: 3 - x \lt 4x - 12$

/* Add bothsides of the equation by 12 ,we get */

$\implies 3 - x + 12 \lt 4x - 12 + 12$

$\implies - x + 15 \lt 4x$

/* Add bothsides of equation by x , we get */

$\implies - x + 15 + x \lt 4x + x$

$\implies 15 \lt 5x$

/* Dividing bothsides by 5, we get */

$\implies \frac{15}{5} \lt x$

$\implies 3 \lt x$

$\implies x \gt 3$

Therefore.,

$\green { x \gt 3}$

•••♪