Solve 6.9x-2.2<3.9x-1.3

$$6.9x-2.2 < 3.9x-1.3$$

Solve for x

$$x<\frac{3}{10}$$

Solution Steps

Subtract 3.9x from both sides.

$$6.9x-2.2-3.9x<-1.3$$

Combine 6.9x and -3.9x to get 3x.

$$3x-2.2<-1.3$$

Add 2.2 to both sides.

$$3x<-1.3+2.2$$

Add -1.3 and 2.2 to get 0.9.

$$3x<0.9$$

Divide both sides by 3. Since 3 is positive, the inequality direction remains the same.

$$x<\frac{0.9}{3}$$

Expand \frac{0.9}{3} by multiplying both numerator and the denominator by 10.

$$x<\frac{9}{30}$$

Reduce the fraction \frac{9}{30} to lowest terms by extracting and canceling out 3.

$$x<\frac{3}{10}$$