Question

Hey can anyone help me out in dis!!!!

Answer 1

Explanation:

5.

`2\left(6x-5\right)<14\\\mathrm{Divide\:both\:sides\:by\:}2\\(2\left(6x-5\right))/(2)<(14)/(2)\\Simplify\\6x-5<7\\\mathrm{Add\:}5\mathrm{\:to\:both\:sides}\\6x-5+5<7+5\\Simplify\\6x<12\\\mathrm{Divide\:both\:sides\:by\:}6\\(6x)/(6)<(12)/(6)\\\mathrm{Simplify}\\x<2`

6.

`(5\left(x-2\right))/(10)>6\\\mathrm{Multiply\:both\:sides\:by\:}10\\(10\cdot \:5\left(x-2\right))/(10)>6\cdot \:10\\Simplify\\5\left(x-2\right)>60\\\mathrm{Divide\:both\:sides\:by\:}5\\(5\left(x-2\right))/(5)>(60)/(5)\\Simplify\\x-2>12\\\mathrm{Add\:}2\mathrm{\:to\:both\:sides}\\x-2+2>12+2\\x>14`

8.

`x+14<(x)/(2)\\\mathrm{Subtract\:}14\mathrm{\:from\:both\:sides}\\x+14-14<(x)/(2)-14\\Simplify\\x<(x)/(2)-14\\\mathrm{Multiply\:both\:sides\:by\:}2\\x\cdot \:2<(x)/(2)\cdot \:2-14\cdot \:2\\\mathrm{Simplify}\\2x<x-28\\\mathrm{Subtract\:}x\mathrm{\:from\:both\:sides}\\2x-x<x-28-x\\\mathrm{Simplify}\\x<-28`

7.

`15\ge \:3\left(7x-9\right)\\Switch\:sides\\3\left(7x-9\right)\le \:15\\\mathrm{Divide\:both\:sides\:by\:}3\\(3\left(7x-9\right))/(3)\le (15)/(3)\\Simplify\\7x-9\le \:5\\\mathrm{Add\:}9\mathrm{\:to\:both\:sides}\\7x-9+9\le \:5+9\\Simplify\\7x\le \:14\\\mathrm{Divide\:both\:sides\:by\:}7\\(7x)/(7)\le (14)/(7)\\\mathrm{Simplify}\\x\le \:2`

Answer 2

5) 2(6x - 5) < 14
12x - 10 < 14
12x < 24
x < 2
6) 5(x-2)/10 > 6
10*5(x-2)/10 > 6*10
50(x-2) > 60
50x - 100 > 60
50x > 160
x > 3.2
7) 15>= 3(7x-9)
15 >= 21x - 27
42 >= 21x
2 >= x
Or x <= 2
8) x+14 < x/2
2(x+14) < x
2x + 28 < x
x < -28