Question 114443
{{{-6(x-4)>=7(2x-3)}}}


{{{-6x+24>=14x-21}}}  (Distributive property)


{{{-6x-14x>=-21-24}}}  (You can add to both sides of the inequality without changing the sense of the inequality)


{{{-20x>=-45}}}  (Collect terms)


{{{x<=(-45)/(-20)}}} (If you multiply or divide by a negative, you have to change the sense of the inequality.  It was greater than or equal, it is now less than or equal)


{{{x<=9/4}}}