SOLUTION: x + 2 < &#8730;5 - x

Algebra ->  Inequalities -> SOLUTION: x + 2 < &#8730;5 - x      Log On


   



Question 549260: x + 2 < √5 - x
Answer by bucky(2189) About Me  (Show Source):
You can put this solution on YOUR website!
Given to solve:
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x+%2B+2+%3C+sqrt%285%29+-+x
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Add x to both sides to eliminate the -x on the right side. When you do that, the inequality becomes:
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2x+%2B+2+%3C+sqrt%285%29+
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Subtract 2 from both sides to eliminate the +2 on the left side. You get:
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2x+%3C+-2+%2Bsqrt%285%29++
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Divide both sides by 2 to solve for the limits on x:
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x+%3C+%28-2%2Bsqrt%285%29%29%2F2
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And that's the answer.
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Note that you can work these inequalities just as you would an equation, with the exception that if you divide or multiply by a negative quantity you must reverse the direction of the inequality sign. This exception did not apply in this problem that you were given to solve.
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Hope this helps you to better understand how to work inequality problems.
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