SOLUTION: Use the fact that f(x) = √x is increasing on its domain to solve the inequalities: √(7-3x)<14
√(2x+1)>√(x+7)
√(5-8x)≥√(x+3)
Thank you!
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Rational-functions
-> SOLUTION: Use the fact that f(x) = √x is increasing on its domain to solve the inequalities: √(7-3x)<14
√(2x+1)>√(x+7)
√(5-8x)≥√(x+3)
Thank you!
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Question 1192976: Use the fact that f(x) = √x is increasing on its domain to solve the inequalities: √(7-3x)<14
√(2x+1)>√(x+7)
√(5-8x)≥√(x+3)
Thank you! Answer by greenestamps(13203) (Show Source):
Because the function is increasing on its domain, when solving an inequality of the form the solution set is not changed when we square the expressions on both sides of the inequality.
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In each of your examples, squaring the expressions on both sides of the inequality leads to a linear equation that is easily solved with basic algebra.
