Question

Solution set of the inequality x/3 > x/2 + 1 is:​

Answer 1

Step-by-step explanation:

x/3> x/2+1

=> x/3-x/2 > 1

=> (2x-3x)/6 > 1

=> -x/6 > 1

=> -x > 6

=> x > -6

Answer 2

Consider the given inequality,

$\frac{x}{3} > \frac{x}{2} + 1$

Multiply by 6 on both sides, we get

$6 \times \frac{x}{3} > 6 \times \frac{x}{2} + 6 \times 1$

$2x> 3x + 6$

$2x - 3x > 3x - 3x + 6$

$- x > 6$

$x < - 6$