Question 76

If  $$5\left(4-x\right)-4<3x-2>4x-6$$; then the value of $$x$$ is

Given, $$5\left(4-x\right)-4<3x-2>4x-6$$

$$=$$>  $$20-5x-4<3x-2>4x-6$$

$$=$$>  $$16-5x<3x-2>4x-6$$

$$=$$>  $$16-5x<3x-2$$  and  $$3x-2>4x-6$$

$$=$$>  $$8x>18$$  and  $$x<4$$

$$=$$>  $$x>\frac{\ 9}{4}$$  and  $$x<4$$

$$=$$>  $$x>\ 2.25$$  and  $$x<4$$

$$=$$>  $$2.25<x<4$$

$$\therefore\ x=3$$

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