Question #d648e

1 Answer
Aug 30, 2017

#x > 2#

Explanation:

First, let's put the words into an inequality.

"Twice the sum of x and 8" is #2(x+8)#
"The difference of 32 and 6x" is #32-6x#

The first expression is greater than the second expression, so we get:

#2(x+8) > 32-6x#

Let's simplify the left side of the inequality.

#2(x+8) > 32-6x ->#

#2x+16 > 32-6x#

Now we can solve for x.

#2x+16 > 32-6x ->#

#8x > 16 ->#

#x > 2#