Which number is in the solution set of the inequality #5x+3>38#?

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Answer 1 · 2017-01-10T15:06:06

The solution set is all numbers greater than #7#.

#x > 7#

To solve this we first substract #color(red)(3)# from each side of the inequality to isolate the #x# term while keeping the inequality balanced:

#5x + 3 - color(red)(3) > 38 - color(red)(3)#

#5x + 0 > 35#

#5x > 35#

Now, we divide each side of the inequality by #color(red)(5)# to solve for #x# while keeping the inequality balanced:

#(5x)/color(red)(5) > 35/color(red)(5)#

#(color(red)(cancel(color(black)(5)))x)/cancel(color(red)(5)) > 7#

#x > 7#