Question

7-3x÷6+5-2x÷3+3-x÷2<1​

Answer 1

Respuesta:

7-3x÷6+5-2x÷3+3-x÷2<1​

$7-\frac{x}{2}+5-\frac{2x}{3}+3-\frac{x}{2}<1\\\\-\frac{x}{2}-\frac{2x}{3}-\frac{x}{2}+7+5+3<1\\\\-x-\frac{2x}{3}+7+5+3<1\\\\-x-\frac{2x}{3}+15<1\\\\-x-\frac{2x}{3}+15-15<1-15\\\\-x-\frac{2x}{3}<-14\\\\-x\cdot \:3-\frac{2x}{3}\cdot \:3<-14\cdot \:3\\\\-5x<-42\\\\\left(-5x\right)\left(-1\right)>\left(-42\right)\left(-1\right)\\\\5x>42\\\\\frac{5x}{5}>\frac{42}{5}\\\\x>\frac{42}{5}$