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Inequalities – one variable Inequality – Exercise 5688

Exercise

Solve the inequality:

\frac{x+1}{2}<\frac{x+4}{5}-\frac{x+7}{10}

Final Answer


x< -1

Solution

\frac{x+1}{2}<\frac{x+4}{5}-\frac{x+7}{10}

In order to get rid of the fractions,multiply the inequality by 10:

5(x+1)<2(x+4)-(x+7)

5x+5<2x+8-x-7

5x-2x+x<8-7-5

4x<-4

x<-1

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