Question 215986
Could you help me solve this inequality 


{{{5w+2 < 8w+23}}}


Step 1. Subtract 5w to both sides of the inequality


{{{5w+2-5w<8w+23-5w}}}


{{{2<3w+23}}}


Step 2.  Subtract 23 from both sides of the inequality


{{{2-23<3w+23-23}}}


{{{-21<3w}}}


Step 3.  Divide 3 to both sides of the inequality.


{{{-21/3<3w/3}}}


{{{-7<w}}}


Step 4.  The answer is {{{-7<w}}} or {{{w>-7}}}


I hope the above steps were helpful.


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Good luck in your studies!


Respectfully,
Dr J