SOLUTION: My book didn't show me how to do this but it asks questions like this anyway.
The length of any side of a triangle is less than the sum of the lengths of the other two sides. In
Algebra ->
Inequalities
-> SOLUTION: My book didn't show me how to do this but it asks questions like this anyway.
The length of any side of a triangle is less than the sum of the lengths of the other two sides. In
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Question 1063823: My book didn't show me how to do this but it asks questions like this anyway.
The length of any side of a triangle is less than the sum of the lengths of the other two sides. In triangle[PQR], PR= RQ+4 and RQ<11. Write and solve an inequality for PQ.
Any explanations of steps would be great. Answer by rothauserc(4718) (Show Source):
You can put this solution on YOUR website! For a given triangle PQR, the sum of any two sides is greater than the third and any side is less than the sum of the other two
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1) PQ + PR > RQ
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2) PQ + RQ > PR
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3) RQ + PR > PQ
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4) RQ < 11
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5) PR = RQ + 4
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by inequality 2) and equation 5)
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PQ + RQ > RQ + 4
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6) PQ > 4
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any side of PQR is less than the sum of the other two sides, also use inequality 4)
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RQ < PQ + PR < 11
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use equation 5)
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RQ < PQ + RQ + 4 < 11
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7) 0 < PQ < 7
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combine inequalities 6) and 7)
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4 < PQ < 7
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