SOLUTION: Solve and graph 4x + 9≥ 1 and 2x - 22 ≥ -18 The solution is x/x≥____?

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Question 321061: Solve and graph 4x + 9≥ 1 and 2x - 22 ≥ -18 The solution is x/x≥____?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

Let's solve the first inequality 4x%2B9%3E=1:


4x%2B9%3E=1 Start with the first inequality.


4x%3E=1-9 Subtract 9 from both sides.


4x%3E=-8 Combine like terms on the right side.


x%3E=%28-8%29%2F%284%29 Divide both sides by 4 to isolate x.


x%3E=-2 Reduce.


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Now let's solve the second inequality 2x-22%3E=-18:


2x-22%3E=-18 Start with the second inequality.


2x%3E=-18%2B22 Add 22 to both sides.


2x%3E=4 Combine like terms on the right side.


x%3E=%284%29%2F%282%29 Divide both sides by 2 to isolate x.


x%3E=2 Reduce.


So we have the two inequalities x%3E=-2 and x%3E=2


We can then combine the two inequalities to get x%3E=2 giving us the final answer of x%3E=2