Inequalities – one variable Inequality – Exercise 5688

Exercise

Solve the inequality:

x+12<x+45x+710\frac{x+1}{2}<\frac{x+4}{5}-\frac{x+7}{10}

Final Answer


x<1x< -1

Solution

x+12<x+45x+710\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)5(x+1)<2(x+4)-(x+7)

5x+5<2x+8x75x+5<2x+8-x-7

5x2x+x<8755x-2x+x<8-7-5

4x<44x<-4

x<1x<-1

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