SOLUTION: Solve the inequalit 4 - 2x < 3 and sketch the solution set on the real number line. Thanks College Algebra ISBN-13: 978-0-618-77629-0

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Question 145711: Solve the inequalit 4 - 2x < 3 and sketch the solution set on the real number line.
Thanks
College Algebra ISBN-13: 978-0-618-77629-0
Answer by jim_thompson5910(21667) About Me  (Show Source):
You can put this solution on YOUR website!

4-2x%3C3 Start with the given inequality



-2x%3C3-4Subtract 4 from both sides


-2x%3C-1 Combine like terms on the right side


x%3E%28-1%29%2F%28-2%29 Divide both sides by -2 to isolate x (note: Remember, dividing both sides by a negative number flips the inequality sign)



x%3E1%2F2 Reduce

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Answer:
So our answer is x%3E1%2F2 (which is approximately x%3E0.5 in decimal form)




Here's the graph of the solution set

drawing%28500%2C80%2C-9%2C+11%2C-10%2C+10%2C%0D%0Anumber_line%28+500%2C+-9%2C+11%29%2C%0D%0A%0D%0Aarrow%281%2F2%2C0%2C11%2C0%29%2C%0D%0Aarrow%281%2F2%2C0.30%2C11%2C0.30%29%2C%0D%0Aarrow%281%2F2%2C0.15%2C11%2C0.15%29%2C%0D%0Aarrow%281%2F2%2C-0.15%2C11%2C-0.15%29%2C%0D%0Aarrow%281%2F2%2C-0.30%2C11%2C-0.30%29%2C%0D%0A%0D%0Acircle%281%2F2%2C0%2C0.3%29%2C%0D%0Acircle%281%2F2%2C0%2C0.3%29%2C%0D%0Acircle%281%2F2%2C0%2C0.3%29%2C%0D%0Acircle%281%2F2%2C0%2C0.3-0.02%29%0D%0A%29