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!
Algebra.Com
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): You can put this solution on YOUR website!
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.
I leave the work to you.
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