Question 1

What is the solution to the inequality 3/2m -4 > 4/5 + 7/10m

Question 2

Answer:

m > 6

Explanation:

$3/2m -4 > 4/5 + 7/10m\\\\(3)/(2)m-4>(4)/(5)+(7)/(10)m\\\\\mathrm{Add\:}4\mathrm{\:to\:both\:sides}\\(3)/(2)m-4+4>(4)/(5)+(7)/(10)m+4\\\\Simplify\\\\(3)/(2)m>(24)/(5)+(7)/(10)m\\\\\mathrm{Subtract\:}(7)/(10)m\mathrm{\:from\:both\:sides}\\\\(3)/(2)m-(7)/(10)m>(24)/(5)+(7)/(10)m-(7)/(10)m\\\\Simplify\\\\(4)/(5)m>(24)/(5)\\\\\mathrm{Multiply\:both\:sides\:by\:}5\\\\5*(4)/(5)m>(24*\:5)/(5)\\\\Simplify\\\\4m>24$

$4m>24\\\\\mathrm{Divide\:both\:sides\:by\:}4\\(4m)/(4)>(24)/(4)\\\\Simplify\\\\m> 6$

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