SOLUTION: I really need help with equations like this 2x-1 ≤ -3 or 2x-1 ≥ 8 4 4 Those should read as fractions 2x-1 / 4 Can you help me step

Algebra ->  Inequalities -> SOLUTION: I really need help with equations like this 2x-1 ≤ -3 or 2x-1 ≥ 8 4 4 Those should read as fractions 2x-1 / 4 Can you help me step      Log On


   

Question 146989: I really need help with equations like this
2x-1 ≤ -3 or 2x-1 ≥ 8
4 4
Those should read as fractions 2x-1 / 4
Can you help me step by step? Thank you.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Let's solve the first inequality %282x-1%29%2F4%3C=-3:


%282x-1%29%2F4%3C=-3 Start with the first inequality.


cross%284%29%28%282x-1%29%2Fcross%284%29%29%3C=4%28-3%29 Multiply both sides by 4.


2x-1%3C=-12 Multiply.


2x%3C=-12%2B1 Add 1 to both sides.


2x%3C=-11 Combine like terms on the right side.


x%3C=%28-11%29%2F%282%29 Divide both sides by 2 to isolate x.


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Now let's solve the second inequality %282x-1%29%2F4%3E=8:


%282x-1%29%2F4%3E=8 Start with the second inequality.


cross%284%29%28%282x-1%29%2Fcross%284%29%29%3E=4%288%29 Multiply both sides by 4.


2x-1%3E=32 Multiply.


2x%3E=32%2B1 Add 1 to both sides.


2x%3E=33 Combine like terms on the right side.


x%3E=%2833%29%2F%282%29 Divide both sides by 2 to isolate x.


So our answer is x%3C=-11%2F2 or x%3E=33%2F2