Question 114441

{{{-6(x-4)>=7(2x-3)}}} Start with the given inequality




{{{-6x+24>=14x-21}}} Distribute



{{{-6x>=14x-21-24}}}Subtract 24 from both sides



{{{-6x-14x>=-21-24}}} Subtract 14x from both sides



{{{-20x>=-21-24}}} Combine like terms on the left side



{{{-20x>=-45}}} Combine like terms on the right side



{{{x<=(-45)/(-20)}}} Divide both sides by -20 to isolate x  (note: Remember, dividing both sides by a negative number flips the inequality sign) 




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


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Answer:

So our answer is {{{x<=9/4}}}  (which is approximately {{{x<=2.25}}} in decimal form)