How do you solve the inequality #-2/3 d - 2

Question

How do you solve the inequality #-2/3 d - 2 < 1/3 d + 8# ?

Eva Adamson · Accepted Answer

#-10#<#d# Multiply everything by 3 #-2d-6#<#d+24# Add 2d to both sides #-6#<#3d+24# Subtract 24 from both sides -30#<#3#d# Divide both sides by 3 #-10#<#d#

Kennedy Adams · Answer

#d> -10# #"collect terms in d on one side and numeric values on the"# #"other side of the inequality"# #"add "2/3d" to both sides"# #cancel(-2/3d)cancel(+2/3d)-2<1/3d+2/3d+8# #rArr-2< d+8# #"subtract 8 from both sides"# #-2-8< dcancel(+8)cancel(-8)# #rArr-10< d" or "d> -10#

Jace Anderson · Answer

undefined To solve the inequality -2/3d - 2 < 1/3d + 8, first, add 2/3d to both sides to get rid of the negative term on the left side. This gives 1/3d - 2 < 8. Next, add 2 to both sides to isolate the variable term on the left side. This results in 1/3d < 10. Finally, multiply both sides of the inequality by 3 to get rid of the fraction. This gives d < 30 as the solution to the inequality.

Julia Adams · Answer

undefined To solve the inequality -2/3 d - 2 < 1/3 d + 8, follow these steps:

1. First, let's simplify the inequality by adding 2/3 d to both sides:
-2/3 d - 2 + 2/3 d < 1/3 d + 2/3 d + 8

2. This simplifies to:
-2 < 5/3 d + 8

3. Next, subtract 8 from both sides:
-2 - 8 < 5/3 d

4. Simplify:
-10 < 5/3 d

5. To isolate d, multiply both sides by 3/5 (the reciprocal of 5/3):
-10 * 3/5 < d

6. Simplify:
-6 < d

So, the solution to the inequality is d > -6.

How do you solve the inequality #-2/3 d - 2 &lt; 1/3 d + 8# ?

How do you solve the inequality #-2/3 d - 2 < 1/3 d + 8# ?