Question

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

Answer 1

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

Answer 2

Answer:

Step-by-step explanation:

5.

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

6.

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

8.

$x+14<\frac{x}{2}\\\mathrm{Subtract\:}14\mathrm{\:from\:both\:sides}\\x+14-14<\frac{x}{2}-14\\Simplify\\x<\frac{x}{2}-14\\\mathrm{Multiply\:both\:sides\:by\:}2\\x\cdot \:2<\frac{x}{2}\cdot \:2-14\cdot \:2\\\mathrm{Simplify}\\2x<x-28\\\mathrm{Subtract\:}x\mathrm{\:from\:both\:sides}\\2x-x<x-28-x\\\mathrm{Simplify}\\x<-28$

7.

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