Question 549260
Given to solve:
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{{{x + 2 < sqrt(5) - 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 + 2 < sqrt(5) }}}
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Subtract 2 from both sides to eliminate the +2 on the left side. You get:
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{{{2x < -2 +sqrt(5)  }}}
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Divide both sides by 2 to solve for the limits on x:
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{{{x < (-2+sqrt(5))/2}}}
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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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