How do you solve #9( d + 2) > 4d - 2#?

2 Answers
Narad T.
Feb 2, 2017

The answer is #d> -4#

Explanation:

Remove the brackets and get the #d's# on the LHS of the inequality

#9(d+2)>4d-2#

#9d+18>4d-2#

#9d-4d> -2-18#

#5d> -20#

#d> -4#

Jim G.
Feb 2, 2017

#d> -4#

Explanation:

First step is distribute the bracket on the left side of the inequality.

#9d+18>4d-2#

collect terms in d on the left side and numeric values on the right side.

subtract 4d from both sides.

#9d-4d+18>cancel(4d)cancel(-4d)-2#

#rArr5d+18> -2#

subtract 18 from both sides.

#5dcancel(+18)cancel(-18)> -2-18#

#rArr5d> -20#

To solve for d, divide both sides by 5

#(cancel(5) d)/cancel(5)>(-20)/5#

#rArrd> -4" is the solution"#

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