Question 145711


{{{4-2x<3}}} Start with the given inequality




{{{-2x<3-4}}}Subtract 4 from both sides



{{{-2x<-1}}} Combine like terms on the right side



{{{x>(-1)/(-2)}}} Divide both sides by -2 to isolate x  (note: Remember, dividing both sides by a negative number flips the inequality sign) 




{{{x>1/2}}} Reduce


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Answer:

So our answer is {{{x>1/2}}}  (which is approximately {{{x>0.5}}} in decimal form)





Here's the graph of the solution set


{{{drawing(500,80,-9, 11,-10, 10,
number_line( 500, -9, 11),

arrow(1/2,0,11,0),
arrow(1/2,0.30,11,0.30),
arrow(1/2,0.15,11,0.15),
arrow(1/2,-0.15,11,-0.15),
arrow(1/2,-0.30,11,-0.30),

circle(1/2,0,0.3),
circle(1/2,0,0.3),
circle(1/2,0,0.3),
circle(1/2,0,0.3-0.02)
)}}}