What is the solution to the inequality #2x-7>15#?

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Answer 1 · 2015-08-13T13:59:29

#x>11#

You can solve this inequality by isolating #x# on one side, first by adding #7# to both sides of the inequality, then by dividing everything by #2#.

So, adding #7# to both sides will get you

#2x - color(red)(cancel(color(black)(7))) + color(red)(cancel(color(black)(7))) > 15 + 7#

#2x > 22#

Now divide both terms by #2# to get #x# alone on the left side of the inequality

#(color(red)(cancel(color(black)(2)))x)/color(red)(cancel(color(black)(2))) > 22/2#

#x > color(green)(11)#

This means that your inequality is valid for any value of #x# that is greater than #11#.

graph{x > 11 [-10, 10, -5, 5]}