2 Answers

Yuliu · Answer 1 · 2019-08-25T12:22:27+0000

Answer with explanation:

1)

(7x)/(9)>(-14)/(3)

On solving we get:

x>-6

Hence, the shaded region is to the right of -6 with open circle at -6.

2)

(-75x)/(4)>(225)/(2)

On solving we get:

$-x>(225)/(2)* (4)/(75)\\\\\\-x>6$

on multiplying both side of the inequality by -1 we get:

x<-6

Hence, the shaded region will be to the left of -6 and open circle at -6.

( Since, the inequality is strict)

3)

$(x)/(4)\leq (-3)/(2)\\\\\\x\leq (-3)/(2)* 4\\\\\\x\leq -6$

The graph of this will be shaded region to the left of -6 and closed circle at -6.

Since the inequality is an inequality with a equality sign.

4)

$(2x)/(3)>(-16)/(3)\\\\\\x>(-16)/(3)* (3)/(2)\\\\\\x>-8$

Hence, the graph is a number line with shaded region to the right of -8 and open circle at -8.

( Since, the inequality is strict )