Question 186838
"Twice the difference of a number and three is greater than or equal to the number increased by five" translates to {{{2(x-3)>=x+5}}}





{{{2(x-3)>=x+5}}} Start with the given inequality.



{{{2x-6>=x+5}}} Distribute.



{{{2x>=x+5+6}}} Add {{{6}}} to both sides.



{{{2x-x>=5+6}}} Subtract {{{x}}} from both sides.



{{{x>=5+6}}} Combine like terms on the left side.



{{{x>=11}}} Combine like terms on the right side.



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Answer:


So the answer is {{{x>=11}}}



This means that 11 or any other larger number will satisfy the statement.