How do you solve #15g+1813g-2=6+15g#?

Question

How do you solve #15g+18>13g-2>=6+15g#?

Hazel Anglin · Accepted Answer

#-10 < g ≤ -4#

Do

#i) \ 15g + 18 > 13g - 2 #

#15g - 13g > -18 - 2#

#2g > -20#

#g > -10#

and

#ii) \ 13g-2 ≥ 6 + 15g#

#13g - 15g ≥ 2 + 6#

#-2g ≥ 8#

#g ≤ -4 -># [division by a negative number = sign change]

Jace Anderson · Answer

undefined To solve the inequality 15g + 18 > 13g - 2 ≥ 6 + 15g, follow these steps:

1. Solve the leftmost inequality:
   15g + 18 > 13g - 2
   
   Subtract 13g from both sides:
   15g - 13g + 18 > -2
   
   Simplify:
   2g + 18 > -2
   
   Subtract 18 from both sides:
   2g + 18 - 18 > -2 - 18
   
   Simplify:
   2g > -20
   
   Divide both sides by 2:
   2g/2 > -20/2
   
   Simplify:
   g > -10

2. Solve the rightmost inequality:
   13g - 2 ≥ 6 + 15g
   
   Subtract 13g from both sides:
   13g - 13g - 2 ≥ 6 + 15g - 13g
   
   Simplify:
   -2 ≥ 6 + 2g
   
   Subtract 6 from both sides:
   -2 - 6 ≥ 6 + 2g - 6
   
   Simplify:
   -8 ≥ 2g
   
   Divide both sides by 2:
   -8/2 ≥ 2g/2
   
   Simplify:
   -4 ≥ g

3. Combine the solutions:
   -4 ≥ g > -10

Therefore, the solution to the inequality is -4 ≥ g > -10.

How do you solve #15g+18&gt;13g-2&gt;=6+15g#?

How do you solve #15g+18>13g-2>=6+15g#?