1. ## inequality

$3 - \frac{x}{2} > 7$

is this right?

$\frac{x}{2} > 7 - 3$

$\frac{x}{2} > 4$

$x < 8$

?

$3 - \frac{x}{2} > 7$

is this right?

$\frac{x}{2} > 7 - 3$
No

From $3 - \frac{x}{2} > 7$

Add $\frac{x}{2}$ to both sides

$3 > 7 + \frac{x}{2}$

Subtract 7

$3 - 7 > \frac{x}{2}$

$-4 > \frac{x}{2}$

Multiply by 2 (positive number therefore does not change the sense of the inequality)

$-8 > x$

$3 - \frac{x}{2} > 7$

is this right?

$\frac{x}{2} > 7 - 3$

$\frac{x}{2} > 4$

$x < 8$

?
No, when multiplying or dividing by a negative number you need to change the direction of the inequality although it is usually easier to use the method running-gag used