Question

Need help please answer ASAP!
(20-21)

Answer 1

#20

• 1/2x+3<2x-6
• 1/2x-2x<-6-3
• -3/2x<-9
• 3/2x>9
• x>9(2/3)
• x>6

#21

Find LCD of 2,7x,x

• x is most common

So

• LCD is 2(7x)(x)=14x²

Answer 2

20. (4) x > 6

21. (3) 14x

Explanation:

Question 20

`\begin{aligned}(1)/(2)x+3 & < 2x-6\\(1)/(2)x+3-3 & < 2x-6-3\\(1)/(2)x & < 2x-9\\(1)/(2)x-2x & < 2x-9-2x\\-(3)/(2)x & < -9\\-(3)/(2)x \cdot 2 & < -9 \cdot 2\\-3x & < -18\\-(3x)/(3) & < -(18)/(3)\\-x & < -6\\(-x)/(-1) & < (-6)/(-1)\\x & > 6\end{aligned}`

Question 21

Rewrite all three fractions so that their denominators are the same:

`(1)/(2)=(1 * 7x)/(2 * 7x)=(7x)/(14x)`

`(2)/(7x)=(2 * 2)/(7x * 2)=(4)/(14x)`

`(5)/(x)=(5 * 14)/(x * 14)=(70)/(14x)`

Therefore, the least common denominator is
`14x`