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e7aine

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Explain why all solutions of the equation 3sinx = x - 1 must lie between x=-2 and x=4.
 
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Templar

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We know that -1<=sinx<=1, so -3<=3sinx<=3.

For x<-2, RHS<-3 therefore equality will not exist.
Similarly for x>4, RHS>3.
 
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